List questions from bochner-spaces

Published on 07 Nov 2017 - 1:37

69

Views

Does weak convergence in $L^\infty(\mathbb{R},L^p(\mathbb{R}^n))$ imply strong convergence in $L^p_{loc}(\mathbb{R}\times\mathbb{R}^n)$?

Published on 23 Feb 2026 - 17:47

451

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Relations between Bochner spaces $L^p(0,T;L^q)$

Published on 13 Jan 2021 - 16:17

46

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Convergence in $L^2(]0,T[,v)$

Published on 20 Jan 2021 - 10:32

174

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Measurability of Banach space valued function

Published on 05 Apr 2021 - 17:52

222

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reflexivity of Bochner space

Published on 23 Feb 2026 - 10:01

88

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Does measurability on product space implies strong measurability?

Published on 22 Apr 2021 - 19:47

105

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Measurability of the Barycenter Map

Published on 25 Mar 2026 - 15:41

56

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Measurable and norm has finite integral implies strongly measurable?

Published on 19 Jun 2021 - 14:32

55

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Almost everywhere convergence of subsequence in Bochner space

Published on 29 Jun 2021 - 9:05

175

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If $S(t)$ is a $C_0$-semigroup, is $S(t-s)f(s)$ Bochner integrable?

Published on 19 Jul 2021 - 15:33

95

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A question on Bochner's integral.

Published on 26 Aug 2021 - 17:00

47

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Is there a relation between weak-* convergence in $L^\infty((0,T); L^2(\Omega))$ and strong convergence in $L^2(\Omega)$ uniformly in $t$?

Published on 23 Feb 2026 - 19:41

41

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Does weak convergence in $L^2(0,T;L^2(\Omega))$ imply weak convergence in $L^2(0,T;L^1(\Omega))$?

Published on 13 Oct 2021 - 14:44

88

Views

Strong convergence and a.e. convergence in Bochner spaces

Published on 13 Oct 2021 - 18:53

List Question

Bochner integral of a function in $L^2$

Does weak convergence in $L^\infty(\mathbb{R},L^p(\mathbb{R}^n))$ imply strong convergence in $L^p_{loc}(\mathbb{R}\times\mathbb{R}^n)$?

Relations between Bochner spaces $L^p(0,T;L^q)$

Convergence in $L^2(]0,T[,v)$

Measurability of Banach space valued function

reflexivity of Bochner space

Does measurability on product space implies strong measurability?

Measurability of the Barycenter Map

Measurable and norm has finite integral implies strongly measurable?

Almost everywhere convergence of subsequence in Bochner space

If $S(t)$ is a $C_0$-semigroup, is $S(t-s)f(s)$ Bochner integrable?

A question on Bochner's integral.

Is there a relation between weak-* convergence in $L^\infty((0,T); L^2(\Omega))$ and strong convergence in $L^2(\Omega)$ uniformly in $t$?

Does weak convergence in $L^2(0,T;L^2(\Omega))$ imply weak convergence in $L^2(0,T;L^1(\Omega))$?

Strong convergence and a.e. convergence in Bochner spaces

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