List questions from hahn-banach-theorem

Published on 23 Feb 2026 - 11:28

193

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Find the unique functional on $\ell^p$, such that $\|f\| = 1$ and for a given fixed $x \in \ell^p$, we have $|f(x)| = \|x\|$, where $1<p<\infty$

Published on 27 Nov 2021 - 23:25

123

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Geometrical Hahn-Banach separation for $A$ and $B$ disjoint and $A$ relatively open.

Published on 04 Dec 2021 - 11:10

174

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Lemma of Farkas, as a an application of Separation Theorems of Hahn Banach

Published on 05 Dec 2021 - 19:19

240

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Exercise 2, Chapter 3 Rudin Functional Analysis (first edition)

Published on 13 Dec 2021 - 16:17

142

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Proof of The Geometric Hahn-Banach Theorem on Brezis Page 7

Published on 19 Dec 2021 - 0:27

275

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Application of Hahn–Banach theorem to approximation problem.

Published on 20 Dec 2021 - 7:47

135

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Consequence of Hahn-Banach - norm closed convex hull contains $0$

Published on 23 Feb 2026 - 11:30

68

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An application of Hahn-Banach theorem in the context of $C^{\ast}$-algebra.

Published on 07 Jan 2022 - 17:15

116

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what is difference between "continuous extension" and "extension by continuity"?

Published on 07 Jan 2022 - 21:38

63

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<Conway> Image of closed ball is dense in weak star topology.

Published on 08 Jan 2022 - 0:36

32

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$L$ is a topological complement of $G$

Published on 10 Jan 2022 - 17:09

217

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A linear functional on the periodic sequences in $\ell^\infty$

Published on 11 Jan 2022 - 2:58

383

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Hahn-Banach extension of positive functional is positive

Published on 11 Jan 2022 - 16:35

82

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Vector Valued Integration on banach space

Published on 12 Jan 2022 - 9:17

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Existence of Folner Sequence Implies Left Invariant Mean

Find the unique functional on $\ell^p$, such that $\|f\| = 1$ and for a given fixed $x \in \ell^p$, we have $|f(x)| = \|x\|$, where $1<p<\infty$

Geometrical Hahn-Banach separation for $A$ and $B$ disjoint and $A$ relatively open.

Lemma of Farkas, as a an application of Separation Theorems of Hahn Banach

Exercise 2, Chapter 3 Rudin Functional Analysis (first edition)

Proof of The Geometric Hahn-Banach Theorem on Brezis Page 7

Application of Hahn–Banach theorem to approximation problem.

Consequence of Hahn-Banach - norm closed convex hull contains $0$

An application of Hahn-Banach theorem in the context of $C^{\ast}$-algebra.

what is difference between "continuous extension" and "extension by continuity"?

<Conway> Image of closed ball is dense in weak star topology.

$L$ is a topological complement of $G$

A linear functional on the periodic sequences in $\ell^\infty$

Hahn-Banach extension of positive functional is positive

Vector Valued Integration on banach space

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