List questions from weak-topology

Published on 26 Mar 2026 - 1:28

35

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$ \sup_{x\in C}\|x\|=\sup_{x^\in B^}\sup_{x\in C}\langle x^*,x\rangle $

Published on 25 Mar 2026 - 23:38

18

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Why $C\mapsto s(x^*,C)$ is affine function?

Published on 09 Apr 2026 - 15:43

43

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Question in a theorem related to topic weak topology

Published on 26 Mar 2026 - 1:06

52

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Does quasiconvexity imply weak lower semicontinuity?

Published on 25 Mar 2026 - 23:37

205

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$l_1$ has no infinite dimensional subspace that is reflexive.

Published on 26 Mar 2026 - 1:29

74

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K(subset of C[0,1]) does not attain the minimal norm

Published on 09 Apr 2026 - 13:36

223

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Looking for a function that is continuous but not sequentially weakly continuous

Published on 26 Mar 2026 - 3:10

209

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Why is the weak topology not more widely defined?

Published on 25 Mar 2026 - 23:37

796

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Continuity in weak topology implies continuity in strong topology

Published on 26 Mar 2026 - 1:06

114

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$\text{dim}\;E<\infty$ if and only if $E'$, in the weak topology, is normable

Published on 26 Mar 2026 - 1:28

61

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You can prove that compacts in the weak topology are limited without the Eberlein-Šmulian theorem

Published on 25 Mar 2026 - 23:39

207

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Proof of Banach Alaoglu theorem by Brezis

Published on 25 Mar 2026 - 23:38

34

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Defining the Borel $\sigma$-algebra of the weak topology of a pairing without talking about topology

Published on 25 Mar 2026 - 23:42

151

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Understanding weak topology from Folland

Published on 25 Mar 2026 - 23:37

List Question

$\{s(. , C_n)\}$ is equicontinuous on $X^*$.

$ \sup_{x\in C}\|x\|=\sup_{x^\in B^}\sup_{x\in C}\langle x^*,x\rangle $

Why $C\mapsto s(x^*,C)$ is affine function?

Question in a theorem related to topic weak topology

Does quasiconvexity imply weak lower semicontinuity?

$l_1$ has no infinite dimensional subspace that is reflexive.

K(subset of C[0,1]) does not attain the minimal norm

Looking for a function that is continuous but not sequentially weakly continuous

Why is the weak topology not more widely defined?

Continuity in weak topology implies continuity in strong topology

$\text{dim}\;E<\infty$ if and only if $E'$, in the weak topology, is normable

You can prove that compacts in the weak topology are limited without the Eberlein-Šmulian theorem

Proof of Banach Alaoglu theorem by Brezis

Defining the Borel $\sigma$-algebra of the weak topology of a pairing without talking about topology

Understanding weak topology from Folland

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