List questions from banach-spaces

Published on 25 Nov 2016 - 20:43

196

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Inequality between the inverse of the dual operator and the original operator using Hahn Banach

Published on 26 Mar 2026 - 20:44

67

Views

Is the vector space complete under this norm?

Published on 28 Nov 2016 - 17:31

59

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Openness of a Bounded Linear Transformation between Banach Spaces

Published on 29 Nov 2016 - 0:23

194

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Dual to compact operators

Published on 27 Mar 2026 - 16:24

58

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Does compact imbedding of $X$ in $Y$ imply there is an element $u\in X$ with $\|u\|_X=1$ and $\|u\|_Y < \varepsilon$?

Published on 30 Nov 2016 - 2:14

172

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Strong operator convergence of an uncountable series

Published on 30 Nov 2016 - 5:53

64

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Extensions of $\mathbb{Q}$-linear operators

Published on 30 Nov 2016 - 10:59

131

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$\{f :f\text{ is continuous and }f(0)=f(1)\}$ is Banach

Published on 30 Nov 2016 - 23:16

107

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On the Besov space

Published on 31 Mar 2026 - 21:21

485

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Reflexive fractional Sobolev spaces

Published on 31 Mar 2026 - 17:01

123

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Existence of a matrix norm where $\|AB\| = \|A\|\|B\|$ for all $A,B\in M_n$

Published on 01 Dec 2016 - 21:44

434

Views

$ab$ and $ba$ invertible elements imply $a$ and $b$ invertible in a Banach algebra

Published on 27 Mar 2026 - 22:31

468

Views

Prob. 8, Sec. 2.3 in Kreyszig's FUNCTIONAL ANALYSIS: Absolute convergence of a series implies convergence only in a Banach space?

Published on 02 Dec 2016 - 22:01

85

Views

Non-Archimedean Banach spaces with automorphism groups that are transitive on the unit sphere

Published on 29 Mar 2026 - 15:35

List Question

$L^{p}$ norm in terms of dense subsets

Inequality between the inverse of the dual operator and the original operator using Hahn Banach

Is the vector space complete under this norm?

Openness of a Bounded Linear Transformation between Banach Spaces

Dual to compact operators

Does compact imbedding of $X$ in $Y$ imply there is an element $u\in X$ with $\|u\|_X=1$ and $\|u\|_Y < \varepsilon$?

Strong operator convergence of an uncountable series

Extensions of $\mathbb{Q}$-linear operators

$\{f :f\text{ is continuous and }f(0)=f(1)\}$ is Banach

On the Besov space

Reflexive fractional Sobolev spaces

Existence of a matrix norm where $\|AB\| = \|A\|\|B\|$ for all $A,B\in M_n$

$ab$ and $ba$ invertible elements imply $a$ and $b$ invertible in a Banach algebra

Prob. 8, Sec. 2.3 in Kreyszig's FUNCTIONAL ANALYSIS: Absolute convergence of a series implies convergence only in a Banach space?

Non-Archimedean Banach spaces with automorphism groups that are transitive on the unit sphere

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