List questions from hahn-banach-theorem

Published on 03 Feb 2022 - 2:58

166

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In a locally convex topological vector space closed convex sets are intersection of closed half-spaces.

Published on 03 Feb 2022 - 8:11

64

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A question about the proof of Hahn-banach theorem

Published on 06 Feb 2022 - 0:44

130

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Counterexample separation theorem

Published on 07 Feb 2022 - 1:14

243

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Confusion about the proof that every convex proper l.s.c. function is bounded below by an affine function

Published on 30 Mar 2022 - 8:02

79

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Banach limit for nets

Published on 12 Apr 2022 - 20:15

185

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Show existence of bounded linear functional

Published on 10 May 2022 - 16:42

19

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$\overline{T(B(0,1))} + \overline{T(B(0,1))} \subseteq 2\overline{T(B(0,1))}$ open function theorem

Published on 23 May 2022 - 20:04

59

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Application of the open function theorem (BANACH) with $f\not\equiv 0$.

Published on 29 May 2022 - 0:03

89

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Show that $\dim(Y)<\infty$, application of the Hahn-Banach theorem.

Published on 31 May 2022 - 18:04

45

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There is a linear extension $\hat \ell: X \to \mathbb R$ of $\ell$ such that $\hat \ell \le m$ on $A$.

Published on 05 Jun 2022 - 22:18

96

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Is the assumption $B \cap \operatorname{aint} (A)=\emptyset$ redundant in this version of Hahn-Banach theorem?

Published on 06 Jun 2022 - 17:31

66

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Ex 1.11 in Brezis's Functional Analysis

Published on 13 Jun 2022 - 9:30

52

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The confusion in applying Hahn-Banach theorem.

Published on 15 Jun 2022 - 1:19

63

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Hahn-Banach implies that zero map extends to zero map?

Published on 28 Feb 2026 - 0:01

List Question

Showing the existence of separating hyperplanes using the Hahn-Banach theorem

In a locally convex topological vector space closed convex sets are intersection of closed half-spaces.

A question about the proof of Hahn-banach theorem

Counterexample separation theorem

Confusion about the proof that every convex proper l.s.c. function is bounded below by an affine function

Banach limit for nets

Show existence of bounded linear functional

$\overline{T(B(0,1))} + \overline{T(B(0,1))} \subseteq 2\overline{T(B(0,1))}$ open function theorem

Application of the open function theorem (BANACH) with $f\not\equiv 0$.

Show that $\dim(Y)<\infty$, application of the Hahn-Banach theorem.

There is a linear extension $\hat \ell: X \to \mathbb R$ of $\ell$ such that $\hat \ell \le m$ on $A$.

Is the assumption $B \cap \operatorname{aint} (A)=\emptyset$ redundant in this version of Hahn-Banach theorem?

Ex 1.11 in Brezis's Functional Analysis

The confusion in applying Hahn-Banach theorem.

Hahn-Banach implies that zero map extends to zero map?

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