List questions from weak-topology

Published on 02 Jun 2020 - 2:07

34

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

Published on 02 Jun 2020 - 14:57

17

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

Published on 23 Feb 2026 - 12:17

42

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Question in a theorem related to topic weak topology

Published on 05 Jun 2020 - 7:16

51

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Does quasiconvexity imply weak lower semicontinuity?

Published on 10 Jun 2020 - 8:58

204

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

Published on 28 Jun 2020 - 4:20

73

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

Published on 23 Feb 2026 - 4:40

222

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

Published on 04 Jul 2020 - 16:30

208

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Why is the weak topology not more widely defined?

Published on 13 Jul 2020 - 6:31

795

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Continuity in weak topology implies continuity in strong topology

Published on 19 Jul 2020 - 2:16

113

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

Published on 20 Jul 2020 - 14:31

60

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

Published on 25 Jul 2020 - 18:23

206

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Proof of Banach Alaoglu theorem by Brezis

Published on 31 Jul 2020 - 3:56

33

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

Published on 03 Feb 2023 - 13:59

150

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Understanding weak topology from Folland

Published on 17 Feb 2023 - 6:15

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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