Question

The topological dual for the weak topology is the topological dual.

score 127 · Answer 1 · 2021-02-13 01:27:45

127

Views

The topological dual for the weak topology is the topological dual.

Published on 13 Feb 2021 - 1:27

score 110 · Answer 2 · 2026-02-24 03:28:51

110

Views

Alternative characterisation of weakly complete Banach spaces

Published on 24 Feb 2026 - 3:28

score 96 · Answer 3 · 2021-03-02 19:22:30

96

Views

$K$ is weakly*-compact $\Rightarrow $ $K$ is norm-bounded

Published on 02 Mar 2021 - 19:22

score 52 · Answer 4 · 2021-03-13 10:30:36

52

Views

F-weak topology and sequence convergence

Published on 13 Mar 2021 - 10:30

score 111 · Answer 5 · 2021-03-13 20:43:30

111

Views

Weak-topology and weak convergence in Goldstine Theorem

Published on 13 Mar 2021 - 20:43

score 69 · Answer 6 · 2021-03-15 03:23:39

69

Views

show $\sigma(X,Y)$ where $X= \ell_\infty, Y = \text{span}\{e_n \mid n \in \mathbb{N}\}$ is not equal to the weak star topology

Published on 15 Mar 2021 - 3:23

score 58 · Answer 7 · 2021-03-21 13:26:12

58

Views

Space of weak$^*$-weak-continuous operators is closed

Published on 21 Mar 2021 - 13:26

score 54 · Answer 8 · 2021-03-22 03:13:50

54

Views

Question about existence of a weak solution to a non-linear PDE

Published on 22 Mar 2021 - 3:13

score 275 · Answer 9 · 2021-04-03 11:02:49

275

Views

Eberlein-Šmulian theorem and "Whitley's construction"

Published on 03 Apr 2021 - 11:02

score 28 · Answer 10 · 2021-04-16 14:02:45

28

Views

$E\in \mathcal{B}(H)$ is a nontrivial projection, then $\mathcal{A}=\{\alpha E:\alpha\in \mathbb C\}$ is weakly closed.

Published on 16 Apr 2021 - 14:02

score 410 · Answer 11 · 2021-04-17 08:18:11

410

Views

Closed convex hull of the tail sequence is exactly the weak limit [Haim Brezis Exercise 3.13]

Published on 17 Apr 2021 - 8:18

score 105 · Answer 12 · 2026-03-25 15:41:10

105

Views

Measurability of the Barycenter Map

Published on 25 Mar 2026 - 15:41

score 94 · Answer 13 · 2021-04-28 19:40:56

94

Views

Continuity of characteristic functions of probability measures with respect to the weak* topology and the topology of compact convergence

Published on 28 Apr 2021 - 19:40

score 139 · Answer 14 · 2021-04-29 10:01:21

139

Views

Existence of minimisers for variational problems: Relaxing the coercivity condition (following the L. Evens book)

Published on 29 Apr 2021 - 10:01

score 73 · Answer 15 · 2021-05-21 00:42:03

73

Views

What does "weak continuity of the norm" means?

Published on 21 May 2021 - 0:42

List Question

The topological dual for the weak topology is the topological dual.

Alternative characterisation of weakly complete Banach spaces

$K$ is weakly*-compact $\Rightarrow $ $K$ is norm-bounded

F-weak topology and sequence convergence

Weak-topology and weak convergence in Goldstine Theorem

show $\sigma(X,Y)$ where $X= \ell_\infty, Y = \text{span}\{e_n \mid n \in \mathbb{N}\}$ is not equal to the weak star topology

Space of weak$^*$-weak-continuous operators is closed

Question about existence of a weak solution to a non-linear PDE

Eberlein-Šmulian theorem and "Whitley's construction"

$E\in \mathcal{B}(H)$ is a nontrivial projection, then $\mathcal{A}=\{\alpha E:\alpha\in \mathbb C\}$ is weakly closed.

Closed convex hull of the tail sequence is exactly the weak limit [Haim Brezis Exercise 3.13]

Measurability of the Barycenter Map

Continuity of characteristic functions of probability measures with respect to the weak* topology and the topology of compact convergence

Existence of minimisers for variational problems: Relaxing the coercivity condition (following the L. Evens book)

What does "weak continuity of the norm" means?

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