Question

Is there a proof that $L^p([0,1],X)$ has the Radon Nikodym Property that uses the characterization via Lipschitz continuous functions?

score 194 · Answer 1 · 2014-12-12 09:07:12

Is there a proof that $L^p([0,1],X)$ has the Radon Nikodym Property that uses the characterization via Lipschitz continuous functions?

score 240 · Answer 2 · 2026-03-25 14:20:13

240

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Riesz representation theorem for Bochner integral

Published on 25 Mar 2026 - 14:20

score 123 · Answer 3 · 2019-11-06 18:16:08

123

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Compactness in Bochner-spaces

Published on 06 Nov 2019 - 18:16

score 74 · Answer 4 · 2019-11-16 09:15:38

74

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Bochner integral in sequence spaces

Published on 16 Nov 2019 - 9:15

score 386 · Answer 5 · 2019-12-16 14:13:43

386

Views

Compact embedding in Bochner space

Published on 16 Dec 2019 - 14:13

score 184 · Answer 6 · 2020-01-17 20:47:01

184

Views

Bochner Space "basic properties" (Reference Request)

Published on 17 Jan 2020 - 20:47

score 54 · Answer 7 · 2020-01-28 09:34:56

54

Views

Relation between weak limits

Published on 28 Jan 2020 - 9:34

score 137 · Answer 8 · 2020-02-04 10:34:48

137

Views

Uniform bound in $L^\infty(0,T;X)$ implies pointwise a.e. convergence in $Y$ if $X \subset Y$ is compact?

Published on 04 Feb 2020 - 10:34

score 100 · Answer 9 · 2020-02-09 19:57:21

100

Views

Weak convergence of simple functions implies strong convergence?

Published on 09 Feb 2020 - 19:57

score 44 · Answer 10 · 2020-02-12 15:21:30

44

Views

show that : $t \mapsto \langle x^{},f(t)\rangle_{X^{},X} $ is measurable from $E$ to $\mathbb{R}$

Published on 12 Feb 2020 - 15:21

score 74 · Answer 11 · 2020-02-15 20:45:08

74

Views

Understanding the interplay between Fréchet derivative and ordinary derivative.

Published on 15 Feb 2020 - 20:45

score 62 · Answer 12 · 2020-02-21 01:18:46

62

Views

Why the sequence $(E_n)$ exists

Published on 21 Feb 2020 - 1:18

score 299 · Answer 13 · 2020-03-16 06:31:55

299

Views

Proof of Pettis' theorem about strong and weak measurability.

Published on 16 Mar 2020 - 6:31

score 89 · Answer 14 · 2020-03-26 13:27:20

89

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If $u_n \in L^\infty(0,T;L^\infty)$ and $u_n \rightharpoonup^* u$ in $L^\infty((0,T)\times \Omega)$, is $u \in L^\infty(0,T;L^\infty)$?

Published on 26 Mar 2020 - 13:27

score 46 · Answer 15 · 2026-03-25 12:53:13

46

Views

Convergence of mollifed Bochner integrable functions

Published on 25 Mar 2026 - 12:53

List Question

Is there a proof that $L^p([0,1],X)$ has the Radon Nikodym Property that uses the characterization via Lipschitz continuous functions?

Riesz representation theorem for Bochner integral

Compactness in Bochner-spaces

Bochner integral in sequence spaces

Compact embedding in Bochner space

Bochner Space "basic properties" (Reference Request)

Relation between weak limits

Uniform bound in $L^\infty(0,T;X)$ implies pointwise a.e. convergence in $Y$ if $X \subset Y$ is compact?

Weak convergence of simple functions implies strong convergence?

show that : $t \mapsto \langle x^{},f(t)\rangle_{X^{},X} $ is measurable from $E$ to $\mathbb{R}$

Understanding the interplay between Fréchet derivative and ordinary derivative.

Why the sequence $(E_n)$ exists

Proof of Pettis' theorem about strong and weak measurability.

If $u_n \in L^\infty(0,T;L^\infty)$ and $u_n \rightharpoonup^* u$ in $L^\infty((0,T)\times \Omega)$, is $u \in L^\infty(0,T;L^\infty)$?

Convergence of mollifed Bochner integrable functions

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