Answer to Question #1035 in Complex Analysis for Tashu

Question #1035
Give the definition of Banach spaces and explain why this notion is important only when
working with infinite dimensional vector spaces.
1
Expert's answer
2010-11-15T18:54:40-0500
Banach space is a complete normed vector space. This means that a Banach space is a vector space V over the real or complex numbers with the defined norm, so that any fundamental sequence in V has a limit, which also belongs to V.

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