New posts in Normed Spaces

Hahn-Banach Theorem for separable spaces without Zorn's Lemma

Exists a uniformly convex norm on Banach space satisfying certain condition?

Let $Y$ be a finite-dimensional normed space, $X$ a normed space, and $T: X \to Y$ a surjective linear operator. Show that $T$ is an open mapping.

What does $\|u\|$ mean?

Isometry group of a norm is always contained in some Isometry group of an inner product?

Riesz's Lemma for finite-dimensional spaces

How to develop an intuitive feel for spaces

A convex subset of a Banach space is closed if and only if it is weakly closed

Is there such thing as an unnormed vector space?

Continuity of vector space operations in a normed space