Functional Analysis

Follow Functional Analysis
Share on
Copy link to clipboard

Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing th…

Dr Joel Feinstein


    • Mar 16, 2012 LATEST EPISODE
    • infrequent NEW EPISODES
    • 30m AVG DURATION
    • 90 EPISODES


    More podcasts from Dr Joel Feinstein

    Mathematical Analysis
    Mathematical Analysis

    infrequent

    Level 1 Mathematics
    Level 1 Mathematics

    infrequent

    Definitions, proofs and examples
    Definitions, proofs and examples

    infrequent

    Teaching Mathematics
    Teaching Mathematics

    infrequent

    Search for episodes from Functional Analysis with a specific topic:

    Latest episodes from Functional Analysis

    Lecture 32 (for iPod) - Discussion session on measure theory

    Play Episode Listen Later Mar 16, 2012 46:15


    Discussion session on measure theory

    theory measure lecture ipods functional analysis
    Lecture 32 - Discussion session on measure theory

    Play Episode Listen Later Mar 16, 2012 46:15


    Discussion session on measure theory

    theory measure lecture functional analysis
    Lecture 31 (for iPod) - Commutative Banach Algebras, printed slides 19-29

    Play Episode Listen Later Feb 22, 2012 46:14


    Commutative Banach Algebras, printed slides 19-29

    lecture ipods slides printed banach functional analysis
    Lecture 31 - Commutative Banach Algebras, printed slides 19-29

    Play Episode Listen Later Feb 22, 2012 46:14


    Commutative Banach Algebras, printed slides 19-29

    lecture slides printed banach functional analysis
    Lecture 30 (for iPod)- Commutative Banach Algebras, printed slides 1-19

    Play Episode Listen Later Feb 13, 2012 47:32


    Commutative Banach Algebras, printed slides 1-19

    lecture ipods slides printed banach functional analysis
    Lecture 30 - Commutative Banach Algebras, printed slides 1-19

    Play Episode Listen Later Feb 13, 2012 47:32


    Commutative Banach Algebras, printed slides 1-19

    lecture slides printed banach functional analysis
    Lecture 29 part b (for iPod) - The Uniform Boundedness Principle/Banach-Steinhaus

    Play Episode Listen Later Feb 13, 2012 21:39


    The Uniform Boundedness Principle/Banach-Steinhaus

    principle lecture ipods uniform part b banach functional analysis steinhaus
    Lecture 29 part b - The Uniform Boundedness Principle/Banach-Steinhaus

    Play Episode Listen Later Feb 13, 2012 21:39


    The Uniform Boundedness Principle/Banach-Steinhaus

    principle lecture uniform part b banach functional analysis steinhaus
    Lecture 29 part a - (for iPod) Recap, and proof of the Closed Graph Theorem

    Play Episode Listen Later Feb 13, 2012 18:14


    Recap, and proof of the Closed Graph Theorem

    proof closed lecture ipods graphs theorem functional analysis
    Lecture 29 part a - Recap, and proof of the Closed Graph Theorem

    Play Episode Listen Later Feb 13, 2012 18:14


    Recap, and proof of the Closed Graph Theorem

    proof closed lecture graphs theorem functional analysis
    Lecture 28 - part b (for iPod) - Chapter 5, printed slides 102-108, Proof of Open Mapping Theorem

    Play Episode Listen Later Feb 13, 2012 44:28


    Lecture 28 - part b - Chapter 5, printed slides 102-108, Proof of Open Mapping Theorem

    proof lecture ipods mapping slides part b printed theorem functional analysis
    Lecture 28 - part b - Chapter 5, printed slides 102-108, Proof of Open Mapping Theorem

    Play Episode Listen Later Feb 13, 2012 44:28


    Chapter 5, printed slides 102-108, Proof of Open Mapping Theorem. (*note a 'typo' in the proof of Lemma 5.8 where one A should be an E)

    proof lecture mapping slides part b printed theorem lemma functional analysis
    Lecture 28 - part a - (for iPod) Recap concerning convex sets which are symmetric about 0

    Play Episode Listen Later Jan 30, 2012 2:03


    Recap concerning convex sets which are symmetric about 0

    lecture ipods convex symmetric functional analysis
    Lecture 28 - part a - Recap concerning convex sets which are symmetric about 0

    Play Episode Listen Later Jan 30, 2012 2:03


    Recap concerning convex sets which are symmetric about 0

    lecture convex symmetric functional analysis
    Lecture 27 - (for iPod) The open mapping lemma

    Play Episode Listen Later Jan 30, 2012 40:00


    LThe open mapping lemma

    lecture ipods mapping lemma functional analysis
    Lecture 27 - The open mapping lemma

    Play Episode Listen Later Jan 30, 2012 40:00


    The open mapping lemma

    lecture mapping lemma functional analysis
    Lecture 26 - (for iPod) Open Mappings and their Applications

    Play Episode Listen Later Jan 30, 2012 38:29


    Open Mappings and their Applications

    applications lecture ipods functional analysis
    Lecture 26 - Open Mappings and their Applications

    Play Episode Listen Later Jan 29, 2012 38:29


    Open Mappings and their Applications

    applications lecture functional analysis
    Lecture 25 - (for iPod) The Weak-* Topology and the Banach-Alaoglu Theorem

    Play Episode Listen Later Jan 29, 2012 42:57


    The Weak-* Topology and the Banach-Alaoglu Theorem

    weak lecture ipods theorem topology banach functional analysis
    Lecture 25 - The Weak-* Topology and the Banach-Alaoglu Theorem

    Play Episode Listen Later Jan 29, 2012 42:57


    The Weak-* Topology and the Banach-Alaoglu Theorem

    weak lecture theorem topology banach functional analysis
    Lecture 24 - (for iPod) Completions, quotients and Riesz's Lemma

    Play Episode Listen Later Jan 28, 2012 40:44


    Completions, quotients and Riesz's Lemma

    lecture ipods completions lemma functional analysis
    Lecture 24 - Completions, quotients and Riesz's Lemma

    Play Episode Listen Later Jan 28, 2012 40:44


    Completions, quotients and Riesz's Lemma

    lecture completions lemma functional analysis
    Lecture 23 - (for iPod) Extensions of linear maps

    Play Episode Listen Later Jan 28, 2012 45:53


    Extensions of linear maps

    lecture maps ipods linear extensions functional analysis
    Lecture 23 - Extensions of linear maps

    Play Episode Listen Later Jan 28, 2012 45:53


    Extensions of linear maps

    lecture maps linear extensions functional analysis
    Lecture 22 - (for iPod) Conclusion of Section 3.7 and brief introduction to Section 3.8

    Play Episode Listen Later Jan 28, 2012 41:19


    Conclusion of Section 3.7 and brief introduction to Section 3.8

    conclusion lecture ipods brief introduction functional analysis
    Lecture 22 - Conclusion of Section 3.7 and brief introduction to Section 3.8

    Play Episode Listen Later Jan 28, 2012 41:19


    Conclusion of Section 3.7 and brief introduction to Section 3.8

    conclusion lecture brief introduction functional analysis
    Lecture 21 - (for iPod) Duals and Double Duals - Section 3.7, printed slides 64-65

    Play Episode Listen Later Jan 23, 2012 35:37


    Duals and Double Duals - Section 3.7, printed slides 64-65. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture ipods nottingham slides printed duals functional analysis
    Lecture 21 - Duals and Double Duals - Section 3.7, printed slides 64-65

    Play Episode Listen Later Jan 23, 2012 35:37


    Section 3.7, printed slides 64-65. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture nottingham slides printed duals functional analysis
    Lecture 20b - (for iPod) Section 3.7: Dual spaces - Section 3.7, printed slides 61-64

    Play Episode Listen Later Jun 10, 2011 22:40


    Section 3.7: Dual spaces - Section 3.7, printed slides 61-64. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university spaces lecture ipods dual nottingham slides printed functional analysis
    Lecture 20b - Section 3.7: Dual spaces - Section 3.7, printed slides 61-64

    Play Episode Listen Later Jun 10, 2011 22:40


    Section 3.7: Dual spaces - Section 3.7, printed slides 61-64. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university spaces lecture dual nottingham slides printed functional analysis
    Lecture 20a - (for iPod) Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60

    Play Episode Listen Later Jun 10, 2011 22:06


    Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion lecture ipods nottingham slides printed sums functional analysis vector spaces
    Lecture 20a - Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60

    Play Episode Listen Later Jun 10, 2011 22:06


    Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion lecture nottingham slides printed sums functional analysis vector spaces
    Lecture 19b - (for iPod) Sums and quotients of vector spaces - Section 3.6, printed slides 55-57

    Play Episode Listen Later May 6, 2011 17:11


    Sums and quotients of vector spaces - Section 3.6, printed slides 55-57. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture ipods nottingham slides printed sums functional analysis vector spaces
    Lecture 19b - Sums and quotients of vector spaces - Section 3.6, printed slides 55-57

    Play Episode Listen Later May 6, 2011 17:11


    Sums and quotients of vector spaces - Section 3.6, printed slides 55-57. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture nottingham slides printed sums functional analysis vector spaces
    Lecture 19a - (for iPod) Isomorphisms - Conclusion of Section 3.5: printed slides 51-54

    Play Episode Listen Later May 6, 2011 24:49


    Isomorphisms - Conclusion of Section 3.5: printed slides 51-54. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion lecture ipods nottingham slides printed functional analysis
    Lecture 19a - Isomorphisms - Conclusion of Section 3.5: printed slides 51-54

    Play Episode Listen Later May 6, 2011 24:49


    Isomorphisms - Conclusion of Section 3.5: printed slides 51-54. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion lecture nottingham slides printed functional analysis
    Lecture 18b - (for iPod) Isomorphisms - Introduction to Section 3.5: printed slides 49-51

    Play Episode Listen Later Apr 27, 2011 7:07


    Isomorphisms - Introduction to Section 3.5: printed slides 49-51. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture ipods nottingham slides printed functional analysis
    Lecture 18b - Isomorphisms - Introduction to Section 3.5: printed slides 49-51

    Play Episode Listen Later Apr 27, 2011 7:07


    Isomorphisms - Introduction to Section 3.5: printed slides 49-51. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture nottingham slides printed functional analysis
    Lecture 18a - (for iPod) Sequence spaces - Conclusion of Section 3.4

    Play Episode Listen Later Apr 27, 2011 36:00


    Sequence spaces - Conclusion of Section 3.4. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion spaces lecture ipods nottingham sequence functional analysis
    Lecture 18a - Sequence spaces - Conclusion of Section 3.4

    Play Episode Listen Later Apr 27, 2011 36:00


    Sequence spaces - Conclusion of Section 3.4, Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion spaces lecture nottingham sequence functional analysis
    Lecture 17 - (for iPod) Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15

    Play Episode Listen Later Apr 27, 2011 46:30


    Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15

    proof spaces lecture ipods sequence theorem functional analysis
    Lecture 17 - Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15

    Play Episode Listen Later Apr 27, 2011 46:30


    Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university proof spaces lecture nottingham sequence theorem functional analysis
    Lecture 16b - (for iPod) Sequence spaces - Section 3.4,  printed slides 45-48

    Play Episode Listen Later Apr 16, 2011 17:44


    Sequence spaces - Section 3.4, printed slides 45-48. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university spaces lecture ipods nottingham sequence slides printed functional analysis
    Lecture 16b - Sequence spaces - Section 3.4,  printed slides 45-48

    Play Episode Listen Later Apr 16, 2011 17:44


    Sequence spaces - Section 3.4, printed slides 45-48. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university spaces lecture nottingham sequence slides printed functional analysis
    Lecture 16a - (for iPod) Linear maps - Conclusion of Section 3.3 including recap, & printed slide 44.

    Play Episode Listen Later Apr 16, 2011 24:42


    Linear maps - Conclusion of Section 3.3 including recap, printed slide 44, connections with Lipschitz continuity

    conclusion lecture maps ipods slide linear printed functional analysis lipschitz
    Lecture 16a - Linear maps - Conclusion of Section 3.3 including recap, & printed slide 44

    Play Episode Listen Later Apr 16, 2011 24:42


    Linear maps - Conclusion of Section 3.3 including recap, printed slide 44, connections with Lipschitz continuity. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university conclusion lecture maps slide nottingham linear printed functional analysis lipschitz
    Lecture 15b - (for iPod) Linear maps - Section 3.3, printed slides 41-43

    Play Episode Listen Later Apr 1, 2011 35:04


    Linear maps - Section 3.3, printed slides 41-43. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951

    university lecture maps ipods nottingham slides linear printed functional analysis

    Claim Functional Analysis

    In order to claim this podcast we'll send an email to with a verification link. Simply click the link and you will be able to edit tags, request a refresh, and other features to take control of your podcast page!

    Claim Cancel