# Answer on Complex Analysis Question 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.

working with infinite dimensional vector spaces.

Expert's answer

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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