List questions from dual-spaces

Published on 21 Apr 2023 - 23:09

64

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Can we prove that $\psi : V \rightarrow V^{**}$ is an isomorphism by constructing an inverse map?

Published on 26 Mar 2026 - 6:28

58

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Continuity of evaluation of Frechet derivative on function of finite signed measures

Published on 03 May 2023 - 21:18

38

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What does really characterize a bounded linear functional?

Published on 05 May 2023 - 8:12

84

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Adjoint of the Dual Map

Published on 26 Mar 2026 - 21:30

93

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What’s the intuition for these annihilator results in linear algebra?

Published on 25 Mar 2026 - 17:46

32

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If $V\cong W$ and $U\subseteq V$, is $U\cong T(U)$?

Published on 26 Mar 2026 - 6:28

69

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Applying the double dual isomorphism $V\cong V’’$

Published on 26 Mar 2026 - 6:27

32

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find the dual pde-constrained optimization

Published on 25 Mar 2026 - 17:28

73

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If $f(v)=0$ for all $f\in U^0$ then $v\in U$

Published on 12 May 2023 - 14:08

73

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Is the dual of continuous functions with compact support identified with Radon or Baire measures?

Published on 25 Mar 2026 - 23:43

33

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Dual of a Banach space

Published on 18 May 2023 - 13:32

25

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Why is $\left<u-P_mu,u_j\right>_V=0$ for $\left<.,.\right>_V=a(.,.) + t\left<.,.\right>_H$ and $a:V\times V\to\mathbb{R}$ a symmetric bilinear form

Published on 27 Mar 2026 - 2:36

33

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Containment of kernels of continuous seminorms

Published on 23 Feb 2026 - 4:59

131

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If $L_n \rightarrow L \in X^$ in the weak sense and $x_n \rightarrow x$ in norm, does $L_n(x_n) \rightarrow L(x)$?

Published on 26 May 2023 - 1:41

List Question

How do you express convolution of measures in term of functionals?

Can we prove that $\psi : V \rightarrow V^{**}$ is an isomorphism by constructing an inverse map?

Continuity of evaluation of Frechet derivative on function of finite signed measures

What does really characterize a bounded linear functional?

Adjoint of the Dual Map

What’s the intuition for these annihilator results in linear algebra?

If $V\cong W$ and $U\subseteq V$, is $U\cong T(U)$?

Applying the double dual isomorphism $V\cong V’’$

find the dual pde-constrained optimization

If $f(v)=0$ for all $f\in U^0$ then $v\in U$

Is the dual of continuous functions with compact support identified with Radon or Baire measures?

Dual of a Banach space

Why is $\left<u-P_mu,u_j\right>_V=0$ for $\left<.,.\right>_V=a(.,.) + t\left<.,.\right>_H$ and $a:V\times V\to\mathbb{R}$ a symmetric bilinear form

Containment of kernels of continuous seminorms

If $L_n \rightarrow L \in X^$ in the weak sense and $x_n \rightarrow x$ in norm, does $L_n(x_n) \rightarrow L(x)$?

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