Banach Space/Examples/Euclidean Space
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Example of Banach Space
A Euclidean space with the usual Euclidean norm is a Banach space.
Proof
This is demonstrated in Euclidean Space is Banach 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