Cover image of Functional Analysis

Functional Analysis

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... Read more

Ranked #1

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Lecture 29 part a - Recap, and proof of the Closed Graph Theorem

Lecture 29 part a - Recap, and proof of the Closed Graph Theorem

Recap, and proof of the Closed Graph Theorem

13 Feb 2012

18mins

Ranked #2

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

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

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

13 Feb 2012

44mins

Ranked #3

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Lecture 25 - The Weak-* Topology and the Banach-Alaoglu Theorem

Lecture 25 - The Weak-* Topology and the Banach-Alaoglu Theorem

The Weak-* Topology and the Banach-Alaoglu Theorem

29 Jan 2012

42mins

Ranked #4

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Lecture 22 - Conclusion of Section 3.7 and brief introduction to Section 3.8

Lecture 22 - Conclusion of Section 3.7 and brief introduction to Section 3.8

Conclusion of Section 3.7 and brief introduction to Section 3.8

28 Jan 2012

41mins

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Ranked #5

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Lecture 24 - Completions, quotients and Riesz's Lemma

Lecture 24 - Completions, quotients and Riesz's Lemma

Completions, quotients and Riesz's Lemma

28 Jan 2012

40mins

Ranked #6

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Lecture 20b - Section 3.7: Dual spaces - Section 3.7, printed slides 61-64

Lecture 20b - Section 3.7: Dual spaces - Section 3.7, printed slides 61-64

Section 3.7: Dual spaces - Section 3.7, printed slides 61-64.Further module materials are available for download from Th... Read more

10 Jun 2011

22mins

Ranked #7

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Lecture 21 - Duals and Double Duals - Section 3.7, printed slides 64-65

Lecture 21 - Duals and Double Duals - Section 3.7, printed slides 64-65

Section 3.7, printed slides 64-65. Further module materials are available for download from The University of Nottingham... Read more

23 Jan 2012

35mins

Ranked #8

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Lecture 20a - Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60

Lecture 20a - Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60

Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60.Further module materials are avail... Read more

10 Jun 2011

22mins

Ranked #9

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Lecture 19b - Sums and quotients of vector spaces - Section 3.6, printed slides 55-57

Lecture 19b - Sums and quotients of vector spaces - Section 3.6, printed slides 55-57

Sums and quotients of vector spaces - Section 3.6, printed slides 55-57.Further module materials are available for downl... Read more

6 May 2011

17mins

Ranked #10

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Lecture 19a - Isomorphisms - Conclusion of Section 3.5: printed slides 51-54

Lecture 19a - Isomorphisms - Conclusion of Section 3.5: printed slides 51-54

Isomorphisms - Conclusion of Section 3.5: printed slides 51-54.Further module materials are available for download from ... Read more

6 May 2011

24mins

Ranked #11

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Lecture 18b - Isomorphisms - Introduction to Section 3.5: printed slides 49-51

Lecture 18b - Isomorphisms - Introduction to Section 3.5: printed slides 49-51

Isomorphisms - Introduction to Section 3.5: printed slides 49-51.Further module materials are available for download fro... Read more

27 Apr 2011

7mins

Ranked #12

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Lecture 26 - Open Mappings and their Applications

Lecture 26 - Open Mappings and their Applications

Open Mappings and their Applications

29 Jan 2012

38mins

Ranked #13

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Lecture 18a - Sequence spaces - Conclusion of Section 3.4

Lecture 18a - Sequence spaces - Conclusion of Section 3.4

Sequence spaces - Conclusion of Section 3.4,Further module materials are available for download from The University of N... Read more

27 Apr 2011

36mins

Ranked #14

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Lecture 17 - Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15

Lecture 17 - Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15

Sequence spaces - Recap of Section 3.4 and proof of part of Theorem 3.15.Further module materials are available for down... Read more

27 Apr 2011

46mins

Ranked #15

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Lecture 27 - The open mapping lemma

Lecture 27 - The open mapping lemma

The open mapping lemma

30 Jan 2012

40mins

Ranked #16

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Lecture 16b - Sequence spaces - Section 3.4,  printed slides 45-48

Lecture 16b - Sequence spaces - Section 3.4,  printed slides 45-48

Sequence spaces - Section 3.4, printed slides 45-48.Further module materials are available for download from The Univer... Read more

16 Apr 2011

17mins

Ranked #17

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Lecture 16a - Linear maps - Conclusion of Section 3.3 including recap, & printed slide 44

Lecture 16a - Linear maps - Conclusion of Section 3.3 including recap, & printed slide 44

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

16 Apr 2011

24mins

Ranked #18

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Lecture 16a - (for iPod) Linear maps - Conclusion of Section 3.3 including recap, & printed slide 44.

Lecture 16a - (for iPod) Linear maps - Conclusion of Section 3.3 including recap, & printed slide 44.

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

16 Apr 2011

24mins

Ranked #19

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Lecture 28 - part a - Recap concerning convex sets which are symmetric about 0

Lecture 28 - part a - Recap concerning convex sets which are symmetric about 0

Recap concerning convex sets which are symmetric about 0

30 Jan 2012

2mins

Ranked #20

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Lecture 30 - Commutative Banach Algebras, printed slides 1-19

Lecture 30 - Commutative Banach Algebras, printed slides 1-19

Commutative Banach Algebras, printed slides 1-19

13 Feb 2012

47mins

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