List questions from topological-vector-spaces

Published on 20 Feb 2019 - 10:27

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Closed sets with filters

Published on 21 Feb 2019 - 11:03

31

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Rudin functional analysis, Definition 3.26

Published on 22 Feb 2019 - 23:20

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Rudin functional analysis, theorem 3.27

Published on 22 Feb 2019 - 23:33

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Is there a characterization of smooth $G$-equivariant functions $\mathbb R^n \to \mathbb R^m$?

Published on 24 Feb 2019 - 21:25

203

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Rudin functional analysis theorem 3.28, application of Reisz representation theorem.

Published on 28 Feb 2019 - 10:06

98

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Rudin functional analysis theorem 3.28, $P$ is weak-compact in $C(Q)^$.

Published on 28 Feb 2019 - 10:53

214

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why a subspace is closed?

Published on 02 Mar 2019 - 0:38

514

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Completeness condition for Fréchet space

Published on 03 Mar 2019 - 4:35

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Rudin's functional analysis, theorem 4.1.(completeness of $\mathcal{B}(X,Y)$)

Published on 06 Mar 2019 - 10:48

57

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Prove that $\|f\|_{X^*} = \sup_{\|x\| \leq 1} |f(x)|.$

Published on 06 Mar 2019 - 14:37

119

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This convex hull is balanced?

Published on 25 Mar 2026 - 9:25

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$+:X\times X\to X,(x,y)\mapsto +(x,y)=x+y$ and $\cdot:\Bbb{R}\times X\to X,(\lambda,x)\mapsto \cdot(\lambda,y)=\lambda\cdot x$ are weakly continuous

Published on 25 Mar 2026 - 11:16

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Rudin functional analysis, theorem 4.9 part (b)

Published on 25 Mar 2026 - 22:09

1.4k

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How is Schwartz space different from Hilbert space?

Published on 10 Mar 2019 - 0:22

List Question

Rudin Functional Analysis Theorem 3.25

Closed sets with filters

Rudin functional analysis, Definition 3.26

Rudin functional analysis, theorem 3.27

Is there a characterization of smooth $G$-equivariant functions $\mathbb R^n \to \mathbb R^m$?

Rudin functional analysis theorem 3.28, application of Reisz representation theorem.

Rudin functional analysis theorem 3.28, $P$ is weak-compact in $C(Q)^$.

why a subspace is closed?

Completeness condition for Fréchet space

Rudin's functional analysis, theorem 4.1.(completeness of $\mathcal{B}(X,Y)$)

Prove that $\|f\|_{X^*} = \sup_{\|x\| \leq 1} |f(x)|.$

This convex hull is balanced?

$+:X\times X\to X,(x,y)\mapsto +(x,y)=x+y$ and $\cdot:\Bbb{R}\times X\to X,(\lambda,x)\mapsto \cdot(\lambda,y)=\lambda\cdot x$ are weakly continuous

Rudin functional analysis, theorem 4.9 part (b)

How is Schwartz space different from Hilbert space?

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