Question

Convergent series which is not absolutely convergent in $(X,\|\cdot\|)$

score 1.4k · Answer 1 · 2026-04-12 19:43:59

1.4k

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Convergent series which is not absolutely convergent in $(X,\|\cdot\|)$

Published on 12 Apr 2026 - 19:43

score 189 · Answer 2 · 2026-04-12 00:21:13

189

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The closure of the image of the unit sphere

Published on 12 Apr 2026 - 0:21

score 396 · Answer 3 · 2026-04-16 03:05:19

396

Views

Lower Bound on Norm of Sum of Linearly Independent Vectors in a Banach Space

Published on 16 Apr 2026 - 3:05

score 307 · Answer 4 · 2026-04-13 03:36:51

307

Views

Goldstine theorem

Published on 13 Apr 2026 - 3:36

score 749 · Answer 5 · 2026-04-17 05:13:34

749

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$C^{1}[0,1]$ is not Banach under $\|\cdot\|_{\infty}$

Published on 17 Apr 2026 - 5:13

score 16.3k · Answer 6 · 2026-03-27 15:36:04

16.3k

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If every absolutely convergent series is convergent then $X$ is Banach

Published on 27 Mar 2026 - 15:36

score 185 · Answer 7 · 2026-03-29 07:30:34

185

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Is range of completely continuous of bounded set finite dimensional set?

Published on 29 Mar 2026 - 7:30

score 275 · Answer 8 · 2026-04-11 19:53:50

275

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A continuous linear injection from $L^\infty$ into a separable subspace

Published on 11 Apr 2026 - 19:53

score 289 · Answer 9 · 2026-04-12 17:10:10

289

Views

Looking for a collection of applications of the Open mapping theorem

Published on 12 Apr 2026 - 17:10

score 551 · Answer 10 · 2026-04-15 12:13:45

551

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$X$ be Banach space , $T \in \mathcal B(X)$ be an open map , $Y$ be a closed linear subspace of $X$ ; is the restriction of $T$ on $Y$ an open map?

Published on 15 Apr 2026 - 12:13

score 453 · Answer 11 · 2026-04-14 05:55:45

453

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$Y$ be real NLS ; if there is a Banach space $X$ such that there is a continuous linear open mapping from $X$ to $Y$ then is $Y$ a Banach space?

Published on 14 Apr 2026 - 5:55

score 147 · Answer 12 · 2026-03-29 05:50:11

147

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Algebra of compact operators on $\ell_p$

Published on 29 Mar 2026 - 5:50

score 141 · Answer 13 · 2026-04-09 11:20:53

141

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Question on operator theory classes of operators on Hilbert spaces

Published on 09 Apr 2026 - 11:20

score 106 · Answer 14 · 2026-04-14 18:43:27

106

Views

Existence of a measurable bijection $f:X \to X^2$

Published on 14 Apr 2026 - 18:43

score 149 · Answer 15 · 2026-04-13 08:21:16

149

Views

Classification of subsymmetric basic sequences

Published on 13 Apr 2026 - 8:21

List Question

Convergent series which is not absolutely convergent in $(X,\|\cdot\|)$

The closure of the image of the unit sphere

Lower Bound on Norm of Sum of Linearly Independent Vectors in a Banach Space

Goldstine theorem

$C^{1}[0,1]$ is not Banach under $\|\cdot\|_{\infty}$

If every absolutely convergent series is convergent then $X$ is Banach

Is range of completely continuous of bounded set finite dimensional set?

A continuous linear injection from $L^\infty$ into a separable subspace

Looking for a collection of applications of the Open mapping theorem

$X$ be Banach space , $T \in \mathcal B(X)$ be an open map , $Y$ be a closed linear subspace of $X$ ; is the restriction of $T$ on $Y$ an open map?

$Y$ be real NLS ; if there is a Banach space $X$ such that there is a continuous linear open mapping from $X$ to $Y$ then is $Y$ a Banach space?

Algebra of compact operators on $\ell_p$

Question on operator theory classes of operators on Hilbert spaces

Existence of a measurable bijection $f:X \to X^2$

Classification of subsymmetric basic sequences

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