List questions from banach-spaces

Published on 14 May 2015 - 9:19

147

Views

Does any continuous map between two Banach spaces over a nonarchimedian field is a closed map?

Published on 10 Apr 2026 - 19:55

1.9k

Views

Extension of bounded operators between norm spaces

Published on 10 Apr 2026 - 12:32

36

Views

It is true that the relatively compact open subsets cannot exist in infinite-dimensional normed spaces?

Published on 09 Apr 2026 - 10:01

73

Views

Test for normability of a metric on a Banach space

Published on 16 May 2015 - 19:52

913

Views

Is $L^1_{loc}(\mathbb{R})$ complete with the norm $|f|=\sup_{x\in \mathbb{R}}\int_x^{x+1}|f(y)|dy$

Published on 02 Apr 2026 - 4:33

244

Views

A question involving weak and strong convergence

Published on 10 Apr 2026 - 21:36

1.9k

Views

Closed linear operator on Banach spaces.

Published on 25 Mar 2026 - 20:52

1.5k

Views

Showing bounded linear operator has closed image

Published on 19 May 2015 - 14:49

104

Views

Is $B_{\ell_1}$ weak-metrizable?

Published on 11 Apr 2026 - 16:12

903

Views

Unit ball separable $\Longrightarrow$ Space separable

Published on 23 May 2015 - 20:00

191

Views

Proving identity of a $C_0$ semigroup

Published on 27 Mar 2026 - 8:16

770

Views

Countable set in a Banach space which spans densely?

Published on 28 Mar 2026 - 21:25

54

Views

Show $\lim_{n\to\infty}(Lu_n) = L(\lim_{n\to\infty} u_n)$

Published on 25 May 2015 - 9:17

1.5k

Views

"isomorphic" normed spaces and reflexivity

Published on 26 May 2015 - 14:45

List Question

Image of a bounded sequence by a convex continuous function in a Banach space

Does any continuous map between two Banach spaces over a nonarchimedian field is a closed map?

Extension of bounded operators between norm spaces

It is true that the relatively compact open subsets cannot exist in infinite-dimensional normed spaces?

Test for normability of a metric on a Banach space

Is $L^1_{loc}(\mathbb{R})$ complete with the norm $|f|=\sup_{x\in \mathbb{R}}\int_x^{x+1}|f(y)|dy$

A question involving weak and strong convergence

Closed linear operator on Banach spaces.

Showing bounded linear operator has closed image

Is $B_{\ell_1}$ weak-metrizable?

Unit ball separable $\Longrightarrow$ Space separable

Proving identity of a $C_0$ semigroup

Countable set in a Banach space which spans densely?

Show $\lim_{n\to\infty}(Lu_n) = L(\lim_{n\to\infty} u_n)$

"isomorphic" normed spaces and reflexivity

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