Question

A normed space is not separable when $\ell_\infty$ can be embedded isometrically into it

score 121 · Answer 1 · 2026-03-25 08:04:55

121

Views

A normed space is not separable when $\ell_\infty$ can be embedded isometrically into it

Published on 25 Mar 2026 - 8:04

score 721 · Answer 2 · 2026-03-25 01:33:57

721

Views

Hahn-Banach extensions from $E$ to $E^{**}$.

Published on 25 Mar 2026 - 1:33

score 137 · Answer 3 · 2018-04-05 02:07:04

137

Views

General form of a bounded linear functional

Published on 05 Apr 2018 - 2:07

score 102 · Answer 4 · 2018-04-05 14:30:14

102

Views

Topologies corresponding to norm, SOT and WOT under duality

Published on 05 Apr 2018 - 14:30

score 204 · Answer 5 · 2018-04-06 11:21:04

204

Views

An exercise in Banach Space Theory

Published on 06 Apr 2018 - 11:21

score 174 · Answer 6 · 2018-04-06 19:13:16

174

Views

Distance of points in Banach space

Published on 06 Apr 2018 - 19:13

score 152 · Answer 7 · 2018-04-08 09:45:22

152

Views

An exercise with finite subspace of a Banach Space

Published on 08 Apr 2018 - 9:45

score 536 · Answer 8 · 2026-03-25 06:09:58

536

Views

Separable dual implies space is weakly metrisable

Published on 25 Mar 2026 - 6:09

score 142 · Answer 9 · 2026-03-25 12:16:28

142

Views

Proving that pointwise limit implies limit of a sequence in $\ell^p$

Published on 25 Mar 2026 - 12:16

score 158 · Answer 10 · 2018-04-10 07:54:24

158

Views

Question about derivative and duality product in a Banach space

Published on 10 Apr 2018 - 7:54

score 193 · Answer 11 · 2018-04-11 10:25:25

193

Views

Is it possible extend a continuous seminorm on a dense subspace of a Banach space to complete space?

Published on 11 Apr 2018 - 10:25

score 225 · Answer 12 · 2018-04-13 16:05:01

225

Views

Prove that $\{x=(x_n) \in c_0 \mid \sum_{n=1}^\infty x_n = 0\}$ is dense in $c_0$

Published on 13 Apr 2018 - 16:05

score 56 · Answer 13 · 2018-04-14 09:17:31

56

Views

Determining closure of $F=\{(z_n)_{n \in \mathbb{N}} \in l^\infty(\mathbb{N},\mathbb{C}):\exists N \in \mathbb{N}, z_n=0 \;\forall \;n\ge N \}$

Published on 14 Apr 2018 - 9:17

score 86 · Answer 14 · 2018-04-15 13:30:03

86

Views

Norm of linear continuous functions on a Banach space

Published on 15 Apr 2018 - 13:30

score 96 · Answer 15 · 2018-04-15 19:03:09

96

Views

A point $x$ belongs to closure of linear span if(f) every bounded linear functional that vanishes on the subset $\{ x_k\}$ vanishes at $x$?

Published on 15 Apr 2018 - 19:03

List Question

A normed space is not separable when $\ell_\infty$ can be embedded isometrically into it

Hahn-Banach extensions from $E$ to $E^{**}$.

General form of a bounded linear functional

Topologies corresponding to norm, SOT and WOT under duality

An exercise in Banach Space Theory

Distance of points in Banach space

An exercise with finite subspace of a Banach Space

Separable dual implies space is weakly metrisable

Proving that pointwise limit implies limit of a sequence in $\ell^p$

Question about derivative and duality product in a Banach space

Is it possible extend a continuous seminorm on a dense subspace of a Banach space to complete space?

Prove that $\{x=(x_n) \in c_0 \mid \sum_{n=1}^\infty x_n = 0\}$ is dense in $c_0$

Determining closure of $F=\{(z_n)_{n \in \mathbb{N}} \in l^\infty(\mathbb{N},\mathbb{C}):\exists N \in \mathbb{N}, z_n=0 \;\forall \;n\ge N \}$

Norm of linear continuous functions on a Banach space

A point $x$ belongs to closure of linear span if(f) every bounded linear functional that vanishes on the subset $\{ x_k\}$ vanishes at $x$?

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