Definition:Banach Space/Also known as

Banach Space: Also known as

A Banach space is also known as a complete normed vector space.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Banach space
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Banach space

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• 2013: Francis Clarke: Functional Analysis, Calculus of Variations and Optimal Control: $5$: Banach spaces
• 2017: Amol Sasane: A Friendly Approach to Functional Analysis ... (previous) ... (next): $\S 1.4$: Normed and Banach spaces. Sequences in a normed space; Banach spaces
• 2020: James C. Robinson: Introduction to Functional Analysis ... (previous) ... (next) $4.1$: Banach Spaces