List questions from topological-vector-spaces

Published on 18 Oct 2016 - 6:12

198

Views

Modifying Hahn-Banach to prove that any continuous form on a subspace can be extended to the whole space

Published on 19 Oct 2016 - 16:43

73

Views

Using the compact property of subsets in $R$ to prove Bolzano-Weierstrass Theorem

Published on 20 Oct 2016 - 0:35

40

Views

How to find and odd number $n$ s.t. $nV\subset W$?

Published on 25 Mar 2026 - 10:57

435

Views

Why are topological complements closed?

Published on 26 Oct 2016 - 8:54

146

Views

Proving an identity of the Pettis integral

Published on 04 Nov 2016 - 19:53

176

Views

Proof that $ f: X \times \mathbb{R} \to X: (x,\lambda) \mapsto \lambda x$ is continuous

Published on 04 Nov 2016 - 21:49

305

Views

Counterexample to Corollary of Banach-Steinhaus?

Published on 08 Nov 2016 - 4:53

68

Views

Interior point $x$ characterization as sum $x+\epsilon y$

Published on 09 Nov 2016 - 22:24

633

Views

Hyperplane $V=[V]\neq X$ or $[V]=X$

Published on 10 Nov 2016 - 14:43

47

Views

Let E be a closed set, then$ E= f^{-1} ({0})$ for an$ f: \Bbb R^p \rightarrow \Bbb R$ continuous

Published on 11 Nov 2016 - 20:32

348

Views

Mackey topology vs. uniform convergence on weakly compact convex sets

Published on 26 Mar 2026 - 3:01

148

Views

Relations between different definitions of polar topologies

Published on 26 Mar 2026 - 3:02

278

Views

Infinite-dimensional spaces for which strong and weak topologies coincide

Published on 26 Mar 2026 - 3:07

239

Views

Showing that $P_3$ is a subspace of $C[0,1]$

Published on 24 Nov 2016 - 21:59

List Question

Finite dimentional topological vector spaces

Modifying Hahn-Banach to prove that any continuous form on a subspace can be extended to the whole space

Using the compact property of subsets in $R$ to prove Bolzano-Weierstrass Theorem

How to find and odd number $n$ s.t. $nV\subset W$?

Why are topological complements closed?

Proving an identity of the Pettis integral

Proof that $ f: X \times \mathbb{R} \to X: (x,\lambda) \mapsto \lambda x$ is continuous

Counterexample to Corollary of Banach-Steinhaus?

Interior point $x$ characterization as sum $x+\epsilon y$

Hyperplane $V=[V]\neq X$ or $[V]=X$

Let E be a closed set, then$ E= f^{-1} ({0})$ for an$ f: \Bbb R^p \rightarrow \Bbb R$ continuous

Mackey topology vs. uniform convergence on weakly compact convex sets

Relations between different definitions of polar topologies

Infinite-dimensional spaces for which strong and weak topologies coincide

Showing that $P_3$ is a subspace of $C[0,1]$

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