List questions from weak-topology

Published on 25 Mar 2026 - 19:11

372

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

Published on 26 Mar 2026 - 1:01

86

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

Published on 25 Mar 2026 - 19:16

91

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$C$ is weakly compact?

Published on 28 Apr 2026 - 2:31

226

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

Published on 26 Mar 2026 - 1:01

1.3k

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

Published on 26 Mar 2026 - 1:01

46

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

Published on 25 Mar 2026 - 23:36

94

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Confusion about continuity of inverse in the Banach Alaoglu proof

Published on 25 Mar 2026 - 19:11

97

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

Published on 25 Mar 2026 - 19:16

169

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Step in proof of Goldstine Theorem

Published on 25 Mar 2026 - 19:10

443

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weak star and strong convergence of net in Banach spaces

Published on 25 Mar 2026 - 17:40

771

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

Published on 17 Apr 2026 - 8:04

75

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Approximation in $L^\infty$

Published on 10 May 2026 - 11:38

175

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

Published on 25 Mar 2026 - 19:11

38

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

Published on 25 Mar 2026 - 19:11

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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