Question

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

score 562 · Answer 1 · 2026-04-01 05:25:12

562

Views

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

Published on 01 Apr 2026 - 5:25

score 385 · Answer 2 · 2026-04-04 02:55:08

385

Views

Weak and Weak* convergences implying reflexivity

Published on 04 Apr 2026 - 2:55

score 115 · Answer 3 · 2026-04-04 05:23:07

115

Views

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

Published on 04 Apr 2026 - 5:23

score 381 · Answer 4 · 2026-04-04 01:42:37

381

Views

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

Published on 04 Apr 2026 - 1:42

score 99 · Answer 5 · 2026-04-03 23:56:12

99

Views

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

Published on 03 Apr 2026 - 23:56

score 1k · Answer 6 · 2026-04-04 06:39:13

1k

Views

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

Published on 04 Apr 2026 - 6:39

score 169 · Answer 7 · 2026-04-04 07:48:35

169

Views

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

Published on 04 Apr 2026 - 7:48

score 100 · Answer 8 · 2026-04-04 01:13:05

100

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 04 Apr 2026 - 1:13

score 456 · Answer 9 · 2026-04-03 19:37:39

456

Views

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

Published on 03 Apr 2026 - 19:37

score 126 · Answer 10 · 2026-04-04 07:27:18

126

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 04 Apr 2026 - 7:27

score 361 · Answer 11 · 2026-04-04 11:04:10

361

Views

Compactness criterion for operator between reflexive Banach spaces

Published on 04 Apr 2026 - 11:04

score 2.3k · Answer 12 · 2026-04-04 02:42:01

2.3k

Views

Every sequence has a weakly convergent subsequence with limit

Published on 04 Apr 2026 - 2:42

score 433 · Answer 13 · 2026-04-05 01:01:52

433

Views

On reflexivity properties of the Schwartz space

Published on 05 Apr 2026 - 1:01

score 154 · Answer 14 · 2026-04-04 00:29:12

154

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 04 Apr 2026 - 0:29

score 228 · Answer 15 · 2026-04-04 04:52:57

228

Views

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

Published on 04 Apr 2026 - 4:52

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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