List questions from weak-topology

Published on 23 Feb 2026 - 6:42

276

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Relationship between a Banach Space $X$ and its bidual $X^{**}$

Published on 23 Feb 2026 - 8:24

40

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Usage of "weakly" when dealing with properties in the weak topology

Published on 10 Sep 2020 - 17:18

1.4k

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weakly continuous vs weakly sequentially continuous operator

Published on 21 Sep 2020 - 16:47

245

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Compact set in the weak topology

Published on 28 Sep 2020 - 20:42

100

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Continuity of integrals in the product of weak topologies

Published on 29 Sep 2020 - 12:49

147

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Metrizability of the set of probability measures with the Kantorovich–Rubinstein metric

Published on 23 Feb 2026 - 6:40

92

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An application of the Baire category theorem

Published on 11 Oct 2020 - 22:01

76

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If $\|f_n\| \leq c$ and $f_n \rightarrow f$ in weak-star topology, then $\|f\| \leq c$?

Published on 15 Oct 2020 - 2:47

65

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Questions related to total set of linear functionals

Published on 21 Oct 2020 - 2:32

161

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compactness of probability measures in the weak topology for a non-metrizable compact space

Published on 23 Oct 2020 - 12:23

445

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Show that the characteristic function of a finite signed measure on a normed vector space is uniformly continuous

Published on 24 Oct 2020 - 10:15

97

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Conditions for continuity of the map $x \mapsto \mu_x$ (where $ \mu = \intop \mu_x d \mu (x)$ is the ergodic decomposition of $\mu$)

Published on 23 Feb 2026 - 6:41

191

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prove weak topology is locally convex

Published on 02 Nov 2020 - 11:45

415

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The difference between 'weak limit point' and 'converge weakly'

Published on 23 Nov 2020 - 11:25

List Question

Weak topology is not metrizable

Relationship between a Banach Space $X$ and its bidual $X^{**}$

Usage of "weakly" when dealing with properties in the weak topology

weakly continuous vs weakly sequentially continuous operator

Compact set in the weak topology

Continuity of integrals in the product of weak topologies

Metrizability of the set of probability measures with the Kantorovich–Rubinstein metric

An application of the Baire category theorem

If $\|f_n\| \leq c$ and $f_n \rightarrow f$ in weak-star topology, then $\|f\| \leq c$?

Questions related to total set of linear functionals

compactness of probability measures in the weak topology for a non-metrizable compact space

Show that the characteristic function of a finite signed measure on a normed vector space is uniformly continuous

Conditions for continuity of the map $x \mapsto \mu_x$ (where $ \mu = \intop \mu_x d \mu (x)$ is the ergodic decomposition of $\mu$)

prove weak topology is locally convex

The difference between 'weak limit point' and 'converge weakly'

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