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 197 · Answer 1 · 2026-04-11 22:38:09

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 124 · Answer 3 · 2026-03-25 23:35:26

124

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Compactness in Bochner-spaces

Published on 25 Mar 2026 - 23:35

score 75 · Answer 4 · 2026-03-25 23:35:36

75

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Bochner integral in sequence spaces

Published on 25 Mar 2026 - 23:35

score 387 · Answer 5 · 2026-03-25 23:35:50

387

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Compact embedding in Bochner space

Published on 25 Mar 2026 - 23:35

score 185 · Answer 6 · 2026-03-26 06:17:32

185

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Bochner Space "basic properties" (Reference Request)

Published on 26 Mar 2026 - 6:17

score 55 · Answer 7 · 2026-03-26 06:17:26

55

Views

Relation between weak limits

Published on 26 Mar 2026 - 6:17

score 138 · Answer 8 · 2026-03-25 23:37:47

138

Views

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

Published on 25 Mar 2026 - 23:37

score 101 · Answer 9 · 2026-03-26 01:28:19

101

Views

Weak convergence of simple functions implies strong convergence?

Published on 26 Mar 2026 - 1:28

score 45 · Answer 10 · 2026-03-25 23:38:40

45

Views

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

Published on 25 Mar 2026 - 23:38

score 75 · Answer 11 · 2026-03-26 01:28:11

75

Views

Understanding the interplay between Fréchet derivative and ordinary derivative.

Published on 26 Mar 2026 - 1:28

score 63 · Answer 12 · 2026-03-26 03:09:36

63

Views

Why the sequence $(E_n)$ exists

Published on 26 Mar 2026 - 3:09

score 300 · Answer 13 · 2026-03-26 01:11:07

300

Views

Proof of Pettis' theorem about strong and weak measurability.

Published on 26 Mar 2026 - 1:11

score 90 · Answer 14 · 2026-03-25 23:42:17

90

Views

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 25 Mar 2026 - 23:42

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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