List questions from dual-spaces

Published on 16 May 2020 - 13:13

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Find correlation between spectrum of f and f*

Published on 18 May 2020 - 19:40

665

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Question about vector space and Bidual Space.

Published on 21 May 2020 - 2:26

98

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$n^{1/p}\chi_{[0,1/n]}$ DOES NOT converge weakly to $0$

Published on 25 May 2020 - 4:10

60

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Identification of vector spaces

Published on 28 May 2020 - 16:46

43

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If $X$ is separable then $X^∗$ is separable in all topologies $\tau$ such that $(X^∗,\tau)^∗ =X$?

Published on 26 Mar 2026 - 1:29

83

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What is the dual of the space $V=\{f: K\to \mathbb R^n, f(x)=Ax+b\}$ with $K\subset\mathbb R^n$ compact?

Published on 31 May 2020 - 18:20

44

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Notation question: dual space basis

Published on 31 May 2020 - 18:47

251

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adjoint transformation intuition

Published on 25 Mar 2026 - 19:00

373

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What is a duality argument?

Published on 01 Jun 2020 - 22:52

81

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$X^*$ separable implies separable unit ball

Published on 26 Mar 2026 - 3:09

204

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How do we norm the space of Fréchet differentiable functions from a Banach space $E$ to $\mathbb R$?

Published on 25 Mar 2026 - 7:44

66

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Let $W \subset V^*$ and consider as a bilinear form the natural pairing. Is $(W^\perp)^\perp = W$?

Published on 26 Mar 2026 - 9:47

197

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Burnside's Theorem on algebras of matrices proof by Rosenthal

Published on 08 Jun 2020 - 16:39

45

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Prove $\sum_{i=1}^{n}\left\langle b_{i}^{}, T b_{i}\right\rangle=\sum_{i=1}^{n}\left\langle c_{i}^{}, T c_{i}\right\rangle.$

Published on 08 Jun 2020 - 21:47

List Question

Which means $E = E ''$ when $E$ is a reflexive space?

Find correlation between spectrum of f and f*

Question about vector space and Bidual Space.

$n^{1/p}\chi_{[0,1/n]}$ DOES NOT converge weakly to $0$

Identification of vector spaces

If $X$ is separable then $X^∗$ is separable in all topologies $\tau$ such that $(X^∗,\tau)^∗ =X$?

What is the dual of the space $V=\{f: K\to \mathbb R^n, f(x)=Ax+b\}$ with $K\subset\mathbb R^n$ compact?

Notation question: dual space basis

adjoint transformation intuition

What is a duality argument?

$X^*$ separable implies separable unit ball

How do we norm the space of Fréchet differentiable functions from a Banach space $E$ to $\mathbb R$?

Let $W \subset V^*$ and consider as a bilinear form the natural pairing. Is $(W^\perp)^\perp = W$?

Burnside's Theorem on algebras of matrices proof by Rosenthal

Prove $\sum_{i=1}^{n}\left\langle b_{i}^{}, T b_{i}\right\rangle=\sum_{i=1}^{n}\left\langle c_{i}^{}, T c_{i}\right\rangle.$

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