Question

Weak convergence in a reﬂexive, separable and infinite Banach space.

score 553 · Answer 1 · 2026-02-22 19:31:12

553

Views

Weak convergence in a reﬂexive, separable and infinite Banach space.

Published on 22 Feb 2026 - 19:31

score 376 · Answer 2 · 2018-02-16 23:44:15

376

Views

Weak and Weak* convergences implying reflexivity

Published on 16 Feb 2018 - 23:44

score 105 · Answer 3 · 2018-03-05 23:15:59

105

Views

Non-Reflexivity of $L^1$ by finding a particular operator in the dual space?

Published on 05 Mar 2018 - 23:15

score 374 · Answer 4 · 2018-04-10 21:48:21

374

Views

My attempt to show the canonical embedding $c_0\rightarrow c_0^{**}$ is not surjective?

Published on 10 Apr 2018 - 21:48

score 88 · Answer 5 · 2018-05-08 18:01:12

88

Views

Is the Unit ball of $X^{**} $ weak*- sequentially compact?

Published on 08 May 2018 - 18:01

score 1k · Answer 6 · 2018-05-09 20:14:23

1k

Views

How to get $\ell_1$ is not reflexive from $c_0^*$ is not reflexive?

Published on 09 May 2018 - 20:14

score 161 · Answer 7 · 2018-06-13 21:45:22

161

Views

Example on $X^$ is reflexive but $\sigma(X^,X)\neq\sigma(X^*,X^{**})$ for a normed space $X$.

Published on 13 Jun 2018 - 21:45

score 91 · Answer 8 · 2018-06-16 15:37:37

91

Views

A direct example on $X^$ is reflexive but the weak topology and weak topology on $X^*$ are not equal for a normed space $X$.

Published on 16 Jun 2018 - 15:37

score 448 · Answer 9 · 2018-06-18 19:34:56

448

Views

How to show a normed space $X$ is reflexive if the weak topology and weak* topology on $X^*$ are equal?

Published on 18 Jun 2018 - 19:34

score 114 · Answer 10 · 2018-07-01 22:10:41

114

Views

Bounded sequence has Cauchy subsequence w.r.t. $ (x|y)_0:=\sum^\infty_{n=1} 2^{-n}\phi_n(x)\phi_n(y).$

Published on 01 Jul 2018 - 22:10

score 350 · Answer 11 · 2018-07-04 12:04:09

350

Views

Compactness criterion for operator between reflexive Banach spaces

Published on 04 Jul 2018 - 12:04

score 2.3k · Answer 12 · 2018-07-12 14:32:28

2.3k

Views

Every sequence has a weakly convergent subsequence with limit

Published on 12 Jul 2018 - 14:32

score 422 · Answer 13 · 2018-08-07 19:42:26

422

Views

On reflexivity properties of the Schwartz space

Published on 07 Aug 2018 - 19:42

score 145 · Answer 14 · 2018-10-19 19:14:19

145

Views

Question concerning specific part of proof that the dual of $L^p$ is $L^q$ where $p$ and $q$ are Hölder conjugates and $p<2$.

Published on 19 Oct 2018 - 19:14

score 218 · Answer 15 · 2018-11-19 20:45:22

218

Views

Giving a proof to the weak compactness of the unity ball in a reflexive normed space

Published on 19 Nov 2018 - 20:45

List Question

Weak convergence in a reﬂexive, separable and infinite Banach space.

Weak and Weak* convergences implying reflexivity

Non-Reflexivity of $L^1$ by finding a particular operator in the dual space?

My attempt to show the canonical embedding $c_0\rightarrow c_0^{**}$ is not surjective?

Is the Unit ball of $X^{**} $ weak*- sequentially compact?

How to get $\ell_1$ is not reflexive from $c_0^*$ is not reflexive?

Example on $X^$ is reflexive but $\sigma(X^,X)\neq\sigma(X^*,X^{**})$ for a normed space $X$.

A direct example on $X^$ is reflexive but the weak topology and weak topology on $X^*$ are not equal for a normed space $X$.

How to show a normed space $X$ is reflexive if the weak topology and weak* topology on $X^*$ are equal?

Bounded sequence has Cauchy subsequence w.r.t. $ (x|y)_0:=\sum^\infty_{n=1} 2^{-n}\phi_n(x)\phi_n(y).$

Compactness criterion for operator between reflexive Banach spaces

Every sequence has a weakly convergent subsequence with limit

On reflexivity properties of the Schwartz space

Question concerning specific part of proof that the dual of $L^p$ is $L^q$ where $p$ and $q$ are Hölder conjugates and $p<2$.

Giving a proof to the weak compactness of the unity ball in a reflexive normed space

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