New posts in Normed Spaces

Physical interpretation of Lebesgue norm $L^p$

If $x, y \in X$ with $x \neq y$, then there exists $f \in X^*$ such that $f(x) \neq f(y)$.

Normed vector space inequality $|\|x\|^2 - \|y\|^2| \le \|x-y\|\|x+y\|$

Is every seminorm induced by a linear operator into a normed space?

Show that an open linear map between normed spaces is surjective.

What is the basis of the vector space $l^\infty$?

If every absolutely convergent series is convergent then $X$ is Banach

Regarding linear independence on a normed-linear space given a condition

A question in the proof of $C(X)$ is not a dual space of a Banach space.

Not all norms are equivalent in an infinite-dimensional space