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Functional Analysis

This class was created by Brainscape user Dominique Gabriela. Visit their profile to learn more about the creator.

By: Dominique Gabriela
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Decks in this class (8)

1) Metric Spaces
Metric space defn,
Standard distance between two reals,
Distance between two points on a ...
25  cards
1.30 Convergence and continuity
Simple sandwich rule for limits,
Archimedean property of reals,
Def 132 convergence
38  cards
1.6) Normed And Open Closed Sets
Defn 16 normed space,
Definition 19 an inner product space,
Norms on the vector space v c a b...
57  cards
2) Useful properties of metric spaces Cauchysequencesandcompleteness Compactness
Def 21 cauchy sequence,
Eg x_n 1 n is it a cauchy sequenc...,
Nb
47  cards
12) Measure theory
Def 121 algebra,
Whats wrong with riemann integrals,
Def set algebra
89  cards
3)Banach and Hilbert
True or false a normed space is a...,
Def 31 banach space and hilbert s...,
Hilbert space vs banach space vs ...
43  cards
4) Stone-Weierstrass theorem
Intro stone weierstrass thm,
Thm 41 stone weierstrass,
Stone weirstrass more info
29  cards
5) Contraction mappings and fixed point theorems
Fixed point,
Previously discussed stone weirst...,
Definition 51 contraction mapping
61  cards

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Functional Analysis

  • Class purpose General learning

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