List questions from dual-spaces

Published on 19 Mar 2019 - 8:27

103

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Can you have an infinite descending chain of dual spaces?

Published on 19 Mar 2019 - 8:39

233

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If operator is closed and densely defined then $D(A^*)^\perp = \{0\}$

Published on 25 Mar 2026 - 6:05

81

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Dual Space to a Lie Algebra. Problem from Takhtajan. Finding the center of a Poisson Algebra

Published on 22 Mar 2019 - 13:00

32

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$E=L^1(\Bbb R) \Rightarrow E'=L^{\infty}(\Bbb R) \Rightarrow E''\ne L^1(\Bbb R) $

Published on 28 Mar 2019 - 14:14

46

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$X$ Banach, $u_n \to u$ and $x^_n \xrightarrow{w^} x^$ implie that $\langle x^_n, u_n\rangle \to \langle x^*,u\rangle$.

Published on 25 Mar 2026 - 12:49

88

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A question about the dual of super vector space

Published on 22 Mar 2026 - 14:54

1.6k

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Prove that the dual basis is linearly independent

Published on 04 Apr 2019 - 5:39

113

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How to show that $\mathcal{F} \otimes \mathcal{F}^\vee \cong \mathcal{O}_X$

Published on 05 Apr 2019 - 17:57

40

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Finite Rank Operator in Normed Space, not necessarily Hilbert neither Banach

Published on 12 Apr 2019 - 18:23

57

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Confusion about Hahn-Banach

Published on 25 Mar 2026 - 9:50

439

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Finding the basis for the annihilator

Published on 18 Apr 2019 - 12:55

1.1k

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A covariant functor sending every finite-dimensional vector space to its dual?

Published on 20 Apr 2019 - 14:09

1.1k

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Questions about deriving the dual space of $l^{1}$

Published on 28 Apr 2019 - 2:52

35

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convex subset of topological dual

Published on 28 Apr 2019 - 22:19

List Question

Are $c_0$ and $c$ duals of some spaces?

Can you have an infinite descending chain of dual spaces?

If operator is closed and densely defined then $D(A^*)^\perp = \{0\}$

Dual Space to a Lie Algebra. Problem from Takhtajan. Finding the center of a Poisson Algebra

$E=L^1(\Bbb R) \Rightarrow E'=L^{\infty}(\Bbb R) \Rightarrow E''\ne L^1(\Bbb R) $

$X$ Banach, $u_n \to u$ and $x^_n \xrightarrow{w^} x^$ implie that $\langle x^_n, u_n\rangle \to \langle x^*,u\rangle$.

A question about the dual of super vector space

Prove that the dual basis is linearly independent

How to show that $\mathcal{F} \otimes \mathcal{F}^\vee \cong \mathcal{O}_X$

Finite Rank Operator in Normed Space, not necessarily Hilbert neither Banach

Confusion about Hahn-Banach

Finding the basis for the annihilator

A covariant functor sending every finite-dimensional vector space to its dual?

Questions about deriving the dual space of $l^{1}$

convex subset of topological dual

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