New posts in topological-vector-spaces

Is Topological Space a Metric Space?

general-topology metric-spaces topological-vector-spaces

Topology of the space $\mathcal{D}(\Omega)$ of test functions

general-topology functional-analysis distribution-theory topological-vector-spaces

The dual of a Fréchet space.

functional-analysis topological-vector-spaces locally-convex-spaces

If weak topology and weak* topology on $X^*$ agree, must $X$ be reflexive?

functional-analysis banach-spaces topological-vector-spaces

In a finite-dimentional Hausdorff locally convex vector space, how to prove there exists a seminorm which is a norm?

functional-analysis normed-spaces topological-vector-spaces locally-convex-spaces

How can I prove this is a metric?

general-topology metric-spaces topological-vector-spaces

$\omega$ - space of all sequences with Fréchet metric

functional-analysis topological-vector-spaces

Part (a) of Exercise 13 of first chapter of Rudin's book "Functional Analysis"

functional-analysis topological-vector-spaces

Universal properties of mapping spaces in functional analysis

functional-analysis banach-spaces normed-spaces topological-vector-spaces

Topology on the general linear group of a topological vector space

linear-algebra topological-vector-spaces topological-groups grassmannian

Extension by continuity on metric spaces

functional-analysis metric-spaces operator-theory topological-vector-spaces

Examples of the difference between Topological Spaces and Condensed Sets

general-topology functional-analysis algebraic-topology topological-vector-spaces

Nonconstant linear functional on a topological vector space is an open mapping

functional-analysis topological-vector-spaces

Can continuity of inverse be omitted from the definition of topological group?

topological-groups topological-vector-spaces

Generic topology on a vector space?

linear-algebra functional-analysis topological-vector-spaces

Interior of a convex set is convex [duplicate]

real-analysis metric-spaces topological-vector-spaces

Is any Banach space a dual space?

general-topology functional-analysis banach-spaces topological-vector-spaces dual-spaces

How to obtain $V_1$ and $V_2$ such that $f(V_1 \times V_2) \subseteq U$?

general-topology topological-vector-spaces

Proving that $L^1(X,M,\mu)$ is not reflexive

real-analysis measure-theory lp-spaces topological-vector-spaces weak-topology

Intuition for separable spaces?

general-topology functional-analysis topological-vector-spaces