Question

Weak* convergence on $L^\infty(\Omega)$ and almost everywhere convergence

score 214 · Answer 1 · 2026-02-26 09:45:08

214

Views

Weak* convergence on $L^\infty(\Omega)$ and almost everywhere convergence

Published on 26 Feb 2026 - 9:45

score 49 · Answer 2 · 2022-03-16 16:07:13

49

Views

Continuity of identiy mapping in the weak topology

Published on 16 Mar 2022 - 16:07

score 35 · Answer 3 · 2026-02-23 08:36:03

35

Views

Apparent contradiction between weak metrizability results

Published on 23 Feb 2026 - 8:36

score 152 · Answer 4 · 2022-04-04 09:35:44

152

Views

Showing $L^{\infty}(\mathbb R)^\neq L^1(\mathbb R)$ using the weak star compactness of unit ball in $L^{\infty}(\mathbb R)^$.

Published on 04 Apr 2022 - 9:35

score 92 · Answer 5 · 2022-04-14 22:01:09

92

Views

The weak topology on a dual pair $(X,Y)$ is metrizable iff the dimension of $Y$ is at most countable.

Published on 14 Apr 2022 - 22:01

score 340 · Answer 6 · 2022-04-23 00:52:12

340

Views

continuous functions in strong(norm) topolgy and weak topology

Published on 23 Apr 2022 - 0:52

score 78 · Answer 7 · 2022-05-04 09:04:05

78

Views

Is the set of rank 1 matrices positive matrices that sum to $1$ closed?

Published on 04 May 2022 - 9:04

score 152 · Answer 8 · 2022-05-19 13:39:55

152

Views

Weak* separability of dual unit ball of D[0,1]

Published on 19 May 2022 - 13:39

score 249 · Answer 9 · 2022-05-26 13:03:45

249

Views

Setwise convergence of measures implies weak convergence under special hypothesis

Published on 26 May 2022 - 13:03

score 177 · Answer 10 · 2022-05-28 15:20:42

177

Views

Let $X$ be a separable Banach space. Then every pointwise bounded $(f_n) \subset X^*$ has a subsequence that converges uniformly on compact sets

Published on 28 May 2022 - 15:20

score 1.2k · Answer 11 · 2022-06-03 16:15:55

1.2k

Views

The closed unit ball of a normed space $X$ is compact if and only if $X$ is finite-dimensional

Published on 03 Jun 2022 - 16:15

score 29 · Answer 12 · 2026-02-24 02:46:45

29

Views

Lower Semi Continuous w.r.t weak Topology

Published on 24 Feb 2026 - 2:46

score 1.7k · Answer 13 · 2022-06-10 07:26:54

1.7k

Views

On the definition of weak and weak-* topologies

Published on 10 Jun 2022 - 7:26

score 657 · Answer 14 · 2022-06-11 06:38:55

657

Views

Strong Operator Topology vs Weak Operator Topology

Published on 11 Jun 2022 - 6:38

score 39 · Answer 15 · 2022-06-11 08:11:48

39

Views

Weak continuity vector-valued functions

Published on 11 Jun 2022 - 8:11

List Question

Weak* convergence on $L^\infty(\Omega)$ and almost everywhere convergence

Continuity of identiy mapping in the weak topology

Apparent contradiction between weak metrizability results

Showing $L^{\infty}(\mathbb R)^\neq L^1(\mathbb R)$ using the weak star compactness of unit ball in $L^{\infty}(\mathbb R)^$.

The weak topology on a dual pair $(X,Y)$ is metrizable iff the dimension of $Y$ is at most countable.

continuous functions in strong(norm) topolgy and weak topology

Is the set of rank 1 matrices positive matrices that sum to $1$ closed?

Weak* separability of dual unit ball of D[0,1]

Setwise convergence of measures implies weak convergence under special hypothesis

Let $X$ be a separable Banach space. Then every pointwise bounded $(f_n) \subset X^*$ has a subsequence that converges uniformly on compact sets

The closed unit ball of a normed space $X$ is compact if and only if $X$ is finite-dimensional

Lower Semi Continuous w.r.t weak Topology

On the definition of weak and weak-* topologies

Strong Operator Topology vs Weak Operator Topology

Weak continuity vector-valued functions

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