List questions from reflexive-space

Published on 06 Jun 2023 - 22:27

53

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Reflexivity of infinite dimensional vector spaces and existence of non degenerate bilinear forms

Published on 08 Jun 2023 - 16:30

51

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Showing that $\ell^p$ with $1<p<\infty$ is reflexive using the adjoint operator.

Published on 19 Jun 2023 - 10:02

177

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Reflexivity is invariant under isomorphism

Published on 19 Jun 2023 - 16:54

74

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When weakly convergence implies the norm convergence?

Published on 29 Jul 2023 - 15:47

61

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Example of isometry between reflexive and non-reflexive Banach spaces

Published on 03 Sep 2023 - 9:44

57

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How does the reflexivity of $V$ imply the denseness of $R(i^*)$?

Published on 09 Sep 2023 - 15:24

77

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How can a non-reflexive space have a reflexive subspace?

Published on 22 Sep 2023 - 19:03

49

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Reflexivity and Separability of $L^p(0,T; X)$ spaces

Published on 15 Oct 2023 - 21:57

96

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James's theorem in incomplete normed spaces

Published on 18 Oct 2023 - 11:48

379

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Prove that a Banach space cannot be reflexive if some strict closed subspace of its dual space separates its points

Published on 04 Jan 2024 - 15:06

66

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Necessary assumptions for direct method of calculus of variations

Published on 17 Jan 2024 - 18:57

34

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Tensor product of linear forms.

Published on 19 Feb 2024 - 14:21

6.1k

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Proof that every finite-dimensional normed space is reflexive

Published on 10 Sep 2015 - 23:32

716

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Reflexive but not separable space

Published on 16 Sep 2015 - 9:10

List Question

Brezis' exercise 6.2.1: If $E$ is reflexive, then $T(B_E)$ is closed in norm topology

Reflexivity of infinite dimensional vector spaces and existence of non degenerate bilinear forms

Showing that $\ell^p$ with $1<p<\infty$ is reflexive using the adjoint operator.

Reflexivity is invariant under isomorphism

When weakly convergence implies the norm convergence?

Example of isometry between reflexive and non-reflexive Banach spaces

How does the reflexivity of $V$ imply the denseness of $R(i^*)$?

How can a non-reflexive space have a reflexive subspace?

Reflexivity and Separability of $L^p(0,T; X)$ spaces

James's theorem in incomplete normed spaces

Prove that a Banach space cannot be reflexive if some strict closed subspace of its dual space separates its points

Necessary assumptions for direct method of calculus of variations

Tensor product of linear forms.

Proof that every finite-dimensional normed space is reflexive

Reflexive but not separable space

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