List questions from dual-spaces

Published on 13 Mar 2023 - 1:42

145

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Irreducible Characters and the Dual Space

Published on 26 Mar 2026 - 22:13

70

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Dual operator of Markovian operator

Published on 15 Mar 2023 - 12:06

83

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Axler Linear Algebra Done Right 3.f.26

Published on 18 Mar 2023 - 23:33

149

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Reproducing kernel for $L_p$ Banach space

Published on 19 Mar 2023 - 2:57

39

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Is there a normed space that it has a element (except 0) that every functional of the dual of the normed space mapping it to 0?

Published on 26 Mar 2023 - 4:08

66

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Is the canonical map $T : L^1(\Omega, \mu, \mathbb R) \to (L^\infty(\Omega, \mu, \mathbb R))^*$ injective?

Published on 26 Mar 2023 - 20:16

43

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Duals In The Sense Of Riesz Representation Theorem

Published on 25 Mar 2026 - 13:55

68

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Canonical isomorphism between spaces of endomorphisms

Published on 26 Mar 2026 - 17:31

155

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Let V be a vector space and $f,g_1,g_2,\ldots,g_m\in V^*$ its dual, prove that f is a linear combination of $g_i$'s iff $\cap ker g_i \subseteq kerf$

Published on 10 Apr 2023 - 10:14

75

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Does the bidual of a closed subspace embed in the bidual of the ambient space?

Published on 26 Mar 2026 - 6:31

90

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Brezis' Functional Analysis: the triplet $V \subset H \subset V^*$

Published on 16 Apr 2023 - 8:53

79

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The dual space of $V = \big \{ v : \sum_n n^2 |v_n|^2 < \infty \big \}$

Published on 16 Apr 2023 - 16:37

32

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Gelfand triple: an example where $\ell \neq i^* \circ j \circ i$

Published on 16 Apr 2023 - 22:14

66

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How to show that the sequence $\{T (e_n)\}_{n \geq 1}$ is square summable?

Published on 18 Apr 2023 - 5:53

List Question

Dual of $L^p_{loc}$ and weak star convergence.

Irreducible Characters and the Dual Space

Dual operator of Markovian operator

Axler Linear Algebra Done Right 3.f.26

Reproducing kernel for $L_p$ Banach space

Is there a normed space that it has a element (except 0) that every functional of the dual of the normed space mapping it to 0?

Is the canonical map $T : L^1(\Omega, \mu, \mathbb R) \to (L^\infty(\Omega, \mu, \mathbb R))^*$ injective?

Duals In The Sense Of Riesz Representation Theorem

Canonical isomorphism between spaces of endomorphisms

Let V be a vector space and $f,g_1,g_2,\ldots,g_m\in V^*$ its dual, prove that f is a linear combination of $g_i$'s iff $\cap ker g_i \subseteq kerf$

Does the bidual of a closed subspace embed in the bidual of the ambient space?

Brezis' Functional Analysis: the triplet $V \subset H \subset V^*$

The dual space of $V = \big \{ v : \sum_n n^2 |v_n|^2 < \infty \big \}$

Gelfand triple: an example where $\ell \neq i^* \circ j \circ i$

How to show that the sequence $\{T (e_n)\}_{n \geq 1}$ is square summable?

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