List questions from dual-spaces

Published on 30 Aug 2021 - 18:04

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Term for the space of annihilators

Published on 01 Sep 2021 - 15:52

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Let $V$ be a finite dimensional vector space over some field $F$. Let $V^{\star}$ be the dual space of $V$. Show $V\cong V^{\star}$.

Published on 11 Sep 2021 - 21:31

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Finding a base of the original vector space using double dual

Published on 12 Sep 2021 - 12:24

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If $E$ is separable, why can we find $(x'_n)\subseteq E'$ such that $\langle x,x'_n\rangle$ for all $n$ implies $x=0$?

Published on 26 Mar 2026 - 12:58

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Bases of a covector space

Published on 22 Sep 2021 - 4:12

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Annihilator of $H^p$ is isometrically isomorphic to $H_{0}^{q}$

Published on 25 Mar 2026 - 20:50

620

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Dual space of a Banach space

Published on 26 Sep 2021 - 12:34

261

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functional derivative and dualspace

Published on 29 Mar 2026 - 22:15

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Duals of $C_c(\Omega)$ and $C_0(\Omega)$

Published on 01 Oct 2021 - 11:00

202

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Finding dual of matrix algebra

Published on 26 Mar 2026 - 12:52

239

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Are $l^p$ and $(l^q)'$ canonically isomorphic or just isomorphic?

Published on 07 Oct 2021 - 8:24

266

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What is the significance of annihilator subspace?

Published on 07 Oct 2021 - 8:32

78

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$\delta \in H^{-s}(\mathbb{R}^n)$ for $s>\frac{n}{2}$

Published on 26 Mar 2026 - 21:26

180

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Is a quotient space isomorphic to its orthogonal

Published on 27 Mar 2026 - 16:22

List Question

What is the dual space of a signed measures with zero mean

Term for the space of annihilators

Let $V$ be a finite dimensional vector space over some field $F$. Let $V^{\star}$ be the dual space of $V$. Show $V\cong V^{\star}$.

Finding a base of the original vector space using double dual

If $E$ is separable, why can we find $(x'_n)\subseteq E'$ such that $\langle x,x'_n\rangle$ for all $n$ implies $x=0$?

Bases of a covector space

Annihilator of $H^p$ is isometrically isomorphic to $H_{0}^{q}$

Dual space of a Banach space

functional derivative and dualspace

Duals of $C_c(\Omega)$ and $C_0(\Omega)$

Finding dual of matrix algebra

Are $l^p$ and $(l^q)'$ canonically isomorphic or just isomorphic?

What is the significance of annihilator subspace?

$\delta \in H^{-s}(\mathbb{R}^n)$ for $s>\frac{n}{2}$

Is a quotient space isomorphic to its orthogonal

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