Question

If $X$ is finite dimensional, what is an explicit metric inducing the weak topology on $X?$

score 94 · Answer 1 · 2026-05-02 18:27:19

94

Views

If $X$ is finite dimensional, what is an explicit metric inducing the weak topology on $X?$

Published on 02 May 2026 - 18:27

score 61 · Answer 2 · 2026-05-10 09:32:08

61

Views

A is a Banach $∗$-algebra.

Published on 10 May 2026 - 9:32

score 215 · Answer 3 · 2026-05-10 11:19:15

215

Views

Norm on a bounded linear operator between Banach spaces

Published on 10 May 2026 - 11:19

score 536 · Answer 4 · 2026-05-07 19:14:26

536

Views

$X$ is the space of all continuous functions with the norm $||f||=\sup_{t\ge0}e^{kt}|f(t)|<\infty.$ Is $X$ a Banach space?

Published on 07 May 2026 - 19:14

score 43 · Answer 5 · 2026-05-10 12:54:50

43

Views

If each subseries of $\sum_{n=1}^\infty x_n$ is weakly convergent, then $\varphi\mapsto(\varphi(x_n))_{n\in\mathbb N}$ is a closed operator

Published on 10 May 2026 - 12:54

score 379 · Answer 6 · 2026-05-07 19:16:03

379

Views

Bounded continuous functions in $L^\infty$.

Published on 07 May 2026 - 19:16

score 91 · Answer 7 · 2026-05-07 19:14:11

91

Views

Question about linear bounded operator in Banach spaces.

Published on 07 May 2026 - 19:14

score 45 · Answer 8 · 2026-05-07 19:16:03

45

Views

Showing that the limit exists for a function in a Banach space

Published on 07 May 2026 - 19:16

score 44 · Answer 9 · 2026-05-07 19:16:03

44

Views

$\|T\| \neq \sup_{\|h\|=1} |\langle Th,h\rangle |$

Published on 07 May 2026 - 19:16

score 687 · Answer 10 · 2026-05-07 19:14:11

687

Views

Example of a non-closed subspace such that the quotient is not a Banach space

Published on 07 May 2026 - 19:14

score 97 · Answer 11 · 2026-05-07 19:16:02

97

Views

Mysterious Series Rearrangement/Permutation Problem

Published on 07 May 2026 - 19:16

score 561 · Answer 12 · 2026-04-29 12:42:59

561

Views

Mazur's theorem counterexample for the weak-$*$ topology

Published on 29 Apr 2026 - 12:42

score 207 · Answer 13 · 2026-04-29 12:25:19

207

Views

Proving an operator is surjective for Lumer-Phillips Theorem application.

Published on 29 Apr 2026 - 12:25

score 111 · Answer 14 · 2026-05-07 19:14:12

111

Views

Banach spaces, invertible operators

Published on 07 May 2026 - 19:14

score 58 · Answer 15 · 2026-05-07 19:20:47

58

Views

Understanding the $\sigma(X^{\ast\ast},X^\ast)$ topology

Published on 07 May 2026 - 19:20

List Question

If $X$ is finite dimensional, what is an explicit metric inducing the weak topology on $X?$

A is a Banach $∗$-algebra.

Norm on a bounded linear operator between Banach spaces

$X$ is the space of all continuous functions with the norm $||f||=\sup_{t\ge0}e^{kt}|f(t)|<\infty.$ Is $X$ a Banach space?

If each subseries of $\sum_{n=1}^\infty x_n$ is weakly convergent, then $\varphi\mapsto(\varphi(x_n))_{n\in\mathbb N}$ is a closed operator

Bounded continuous functions in $L^\infty$.

Question about linear bounded operator in Banach spaces.

Showing that the limit exists for a function in a Banach space

$\|T\| \neq \sup_{\|h\|=1} |\langle Th,h\rangle |$

Example of a non-closed subspace such that the quotient is not a Banach space

Mysterious Series Rearrangement/Permutation Problem

Mazur's theorem counterexample for the weak-$*$ topology

Proving an operator is surjective for Lumer-Phillips Theorem application.

Banach spaces, invertible operators

Understanding the $\sigma(X^{\ast\ast},X^\ast)$ topology

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