closed subspaces of banach spaces are banach

[[concept]]

Theorem

A subspace $W \subset V$ of a Banach space is Banach if and only if $W \subset V$ is closed.

Proof

Exercise

The Proof is left as an exercise

File	Last Modified
Functional Analysis Lecture 3	2025-06-05

Created 2025-06-05 Last Modified 2025-06-05