List questions from banach-spaces

Published on 14 Apr 2026 - 21:56

921

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If $C$ is convex , weakly-closed and norm-bounded $\Longrightarrow$ $C$ is weakly-compact

Published on 11 Apr 2026 - 19:09

79

Views

Family of complemented subspaces

Published on 09 Apr 2026 - 23:15

37

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$K(t,x)=\inf_{x=a+b,\ a\in X,\ b\in Y}\{\|a\|_X+t\|b\|_Y\}$ and $\int_0^\infty \frac{|K(t,x)|^p}{t}dt<\infty$ implies $x=0$?

Published on 16 Apr 2026 - 8:49

373

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A basic question on Type and Cotype theory

Published on 11 Apr 2026 - 23:58

182

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application of the theorem of the open application

Published on 11 Apr 2026 - 3:07

558

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Counterexample for the stability of orthogonal projections

Published on 11 Apr 2026 - 3:37

333

Views

Invariant subspace associated with a complex eigenvalue

Published on 15 Apr 2026 - 15:04

79

Views

$\operatorname{sconv}(A)=\left\{ \sum_{i=1}^\infty\lambda_i\cdot a_i:a_i\in A, \lambda_i\ge0,\sum_{i=1}^\infty\lambda_i=1\right\}$ is superconvex

Published on 14 Apr 2026 - 13:20

392

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Questions about $B(H)$ and $B(H)/K(H)$ as Banach space

Published on 11 Apr 2026 - 7:18

75

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The set of "variations" of an unconditionally convergent series is compact

Published on 14 Apr 2026 - 9:20

59

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The set of finite "variations" of an unconditionally convergent series is pre-compact

Published on 14 Apr 2026 - 4:35

709

Views

About functions of bounded variation

Published on 10 Apr 2026 - 12:49

6.1k

Views

Doubt in the proof that $l^{p}$ is complete

Published on 13 Apr 2026 - 21:13

12.4k

Views

Proving that Tensor Product is Associative

Published on 13 Apr 2026 - 11:55

List Question

$K$ is weakly-compact $\Longleftrightarrow$ $\Pi(K)$ is weak*-compact

If $C$ is convex , weakly-closed and norm-bounded $\Longrightarrow$ $C$ is weakly-compact

Family of complemented subspaces

$K(t,x)=\inf_{x=a+b,\ a\in X,\ b\in Y}\{\|a\|_X+t\|b\|_Y\}$ and $\int_0^\infty \frac{|K(t,x)|^p}{t}dt<\infty$ implies $x=0$?

A basic question on Type and Cotype theory

application of the theorem of the open application

Counterexample for the stability of orthogonal projections

Invariant subspace associated with a complex eigenvalue

$\operatorname{sconv}(A)=\left\{ \sum_{i=1}^\infty\lambda_i\cdot a_i:a_i\in A, \lambda_i\ge0,\sum_{i=1}^\infty\lambda_i=1\right\}$ is superconvex

Questions about $B(H)$ and $B(H)/K(H)$ as Banach space

The set of "variations" of an unconditionally convergent series is compact

The set of finite "variations" of an unconditionally convergent series is pre-compact

About functions of bounded variation

Doubt in the proof that $l^{p}$ is complete

Proving that Tensor Product is Associative

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