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Banach Space

Last updated Nov 1, 2022

Table of Contents

# Definition

A Banach Space is a Normed Vector Space that is a Complete Metric Space.

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Banach Space
Banach Spaces are Separable if they contain a Countable Total Subset
Closed Subspaces of a Banach Space are Banach
Continuous Functions on a Compact Set are Banach
Quotient Map is a Contraction Operator
Quotient Normed Space of a Banach Space is Banach
c0 is Banach
little-lp is a Banach Space

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