List questions from weak-topology

Published on 12 Feb 2020 - 0:43

371

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Show that : $\{y_n\}$ is relatively weakly compact.

Published on 13 Feb 2020 - 12:52

85

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$A$ relatively weakly compact then $\overline{\text{aco}} (A)$ is relatively weakly compact.

Published on 13 Feb 2020 - 16:43

73

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$C$ is weakly compact?

Published on 23 Mar 2026 - 22:00

225

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Weak but not $\text{weak}^{\star}$ sequentially compact ball

Published on 27 Feb 2020 - 10:44

1.3k

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Understanding the weak topology, and showing a function is weakly continuous

Published on 28 Feb 2020 - 22:51

45

Views

Net in $\mathcal{B}^*$ converging to unbounded functional

Published on 12 Mar 2020 - 0:45

93

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Confusion about continuity of inverse in the Banach Alaoglu proof

Published on 12 Mar 2020 - 19:57

96

Views

Representating Borel probability measures as closed subset of $\mathbb{R}^{\infty}$

Published on 19 Mar 2020 - 10:15

168

Views

Step in proof of Goldstine Theorem

Published on 01 Apr 2020 - 17:05

443

Views

weak star and strong convergence of net in Banach spaces

Published on 25 Mar 2026 - 17:40

766

Views

The product topology of weak topologies is the same as the weak topology of the product space?

Published on 05 Apr 2020 - 17:17

72

Views

Approximation in $L^\infty$

Published on 25 Mar 2026 - 12:47

174

Views

Banach Space Sequence Equivalent to standard basis of $\ell_1$

Published on 12 Apr 2020 - 23:08

37

Views

$ f(x^)=\sup_{x\in C}{\langle x^,x\rangle} $ is $\sigma(X^*,X)$-lower semicontinuous.

Published on 13 Apr 2020 - 16:49

List Question

Show that : $ x_n \overset {\sigma (X,X')}{\to} x $

Show that : $\{y_n\}$ is relatively weakly compact.

$A$ relatively weakly compact then $\overline{\text{aco}} (A)$ is relatively weakly compact.

$C$ is weakly compact?

Weak but not $\text{weak}^{\star}$ sequentially compact ball

Understanding the weak topology, and showing a function is weakly continuous

Net in $\mathcal{B}^*$ converging to unbounded functional

Confusion about continuity of inverse in the Banach Alaoglu proof

Representating Borel probability measures as closed subset of $\mathbb{R}^{\infty}$

Step in proof of Goldstine Theorem

weak star and strong convergence of net in Banach spaces

The product topology of weak topologies is the same as the weak topology of the product space?

Approximation in $L^\infty$

Banach Space Sequence Equivalent to standard basis of $\ell_1$

$ f(x^)=\sup_{x\in C}{\langle x^,x\rangle} $ is $\sigma(X^*,X)$-lower semicontinuous.

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