List questions from banach-spaces

Published on 27 Jun 2020 - 3:00

172

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Counterexample to Inverse Operator Theorem

Published on 27 Jun 2020 - 4:19

80

Views

about finite rank operator

Published on 27 Jun 2020 - 6:15

101

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If $\gamma$ is a curve connecting $x$ and $y$, can we show $\int_0^1\left\|\gamma'(t)\right\|\:{\rm d}t\ge\left\|x-y\right\|$?

Published on 30 Mar 2026 - 20:45

200

Views

One-sided ideals in $B(H)$

Published on 27 Jun 2020 - 16:33

757

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Bounded inverse theorem when the domain is not complete

Published on 27 Jun 2020 - 21:46

22

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Proving a constructed approximating sequence in a Banach space converges

Published on 29 Jun 2020 - 11:50

221

Views

Inclusion map $i : C^{0,\beta}[0, 1] \rightarrow C^{0,\alpha}[0, 1] $ is linear, and therefore compact

Published on 25 Mar 2026 - 12:26

325

Views

Reflexive space with schur property

Published on 02 Jul 2020 - 18:03

117

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Concrete example of non-nuclear operator $E \to F$ and isometry $F \hookrightarrow G$ so that the composition $E \to F \hookrightarrow G$ is nuclear

Published on 03 Jul 2020 - 11:03

235

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Weak-* closed subspaces and Preduals, a la von Neumann Algebras

Published on 27 Mar 2026 - 18:34

99

Views

A question of convergence in Hilbert spaces

Published on 04 Jul 2020 - 3:05

84

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If $A$ and $B$ are continuous linear operators from $F$ into $E$, $|A-B|<1 $, and $A$ is invertible, then $B$ is invertible

Published on 29 Mar 2026 - 14:25

60

Views

For what kind of random vectors do we have $\sup_{p \ge 1}\|X\|_p < \infty$?

Published on 01 Apr 2026 - 5:36

223

Views

Looking for a function that is continuous but not sequentially weakly continuous

Published on 26 Mar 2026 - 3:10

List Question

Weakly open sets are unbounded

Counterexample to Inverse Operator Theorem

about finite rank operator

If $\gamma$ is a curve connecting $x$ and $y$, can we show $\int_0^1\left\|\gamma'(t)\right\|\:{\rm d}t\ge\left\|x-y\right\|$?

One-sided ideals in $B(H)$

Bounded inverse theorem when the domain is not complete

Proving a constructed approximating sequence in a Banach space converges

Inclusion map $i : C^{0,\beta}[0, 1] \rightarrow C^{0,\alpha}[0, 1] $ is linear, and therefore compact

Reflexive space with schur property

Concrete example of non-nuclear operator $E \to F$ and isometry $F \hookrightarrow G$ so that the composition $E \to F \hookrightarrow G$ is nuclear

Weak-* closed subspaces and Preduals, a la von Neumann Algebras

A question of convergence in Hilbert spaces

If $A$ and $B$ are continuous linear operators from $F$ into $E$, $|A-B|<1 $, and $A$ is invertible, then $B$ is invertible

For what kind of random vectors do we have $\sup_{p \ge 1}\|X\|_p < \infty$?

Looking for a function that is continuous but not sequentially weakly continuous

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