Question

Rearrangement of Schauder basis

score 367 · Answer 1 · 2026-04-12 19:38:46

367

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Rearrangement of Schauder basis

Published on 12 Apr 2026 - 19:38

score 178 · Answer 2 · 2026-03-30 13:42:06

178

Views

If $X/F$ is separable, must $X/F$ isomorphic to $F$?

Published on 30 Mar 2026 - 13:42

score 90 · Answer 3 · 2015-12-05 14:26:04

90

Views

What is the difference between n-dim ($n<\infty$) Banach space and $R^n$?

Published on 05 Dec 2015 - 14:26

score 93 · Answer 4 · 2026-04-10 17:12:21

93

Views

Characterize the continuity of linear maps between Banach spaces in terms of continuous linear functionals

Published on 10 Apr 2026 - 17:12

score 248 · Answer 5 · 2015-12-07 16:55:46

248

Views

Examples for the Kuratowski–Fréchet theorem

Published on 07 Dec 2015 - 16:55

score 126 · Answer 6 · 2015-12-08 04:13:18

For any Cauchy sequence in a Banach space we can pick the subsequence $\{{x_{n_k}\}}_{k=1}^\infty: \|x_{n_{k+1}}-x_{n_k}\|\lt 2^{-k} $?

score 126 · Answer 7 · 2026-04-11 15:58:08

126

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How do completeness and being closed differ in a subspace?

Published on 11 Apr 2026 - 15:58

score 150 · Answer 8 · 2026-04-11 04:50:38

150

Views

Mujica's "Complex analysis in Banach spaces" exercise 1.2.B

Published on 11 Apr 2026 - 4:50

score 605 · Answer 9 · 2026-03-30 15:14:15

605

Views

Let $X$ be a Banach space, and $E$ a closed subspace, then $X/E$ is a Banach space

Published on 30 Mar 2026 - 15:14

score 614 · Answer 10 · 2015-12-10 13:02:02

614

Views

Representation of the elements of a normed vector space that has a dense subset.

Published on 10 Dec 2015 - 13:02

score 3.1k · Answer 11 · 2026-04-12 18:42:54

3.1k

Views

the space of lipschitz function is complete with respect to some norm

Published on 12 Apr 2026 - 18:42

score 737 · Answer 12 · 2015-12-11 03:36:08

737

Views

Show that every Banach space is isometric to a subspace of an $L_{\infty}(\mu)$-space

Published on 11 Dec 2015 - 3:36

score 38 · Answer 13 · 2026-03-26 17:33:29

38

Views

If $N$ is a subset of $M$, show that $Lip_0(N)$ is linearly isomorphic to $Lip_0(\bar{N})$

Published on 26 Mar 2026 - 17:33

score 75 · Answer 14 · 2026-04-11 20:17:12

75

Views

V is isomorphic to U. U is Banach iff V is Banach

Published on 11 Apr 2026 - 20:17

score 53 · Answer 15 · 2015-12-12 06:13:27

53

Views

Show that if $E$ is a finite dimensional subspace of $l_p$, there exists an integer $m$ such that $\| P_m(x) \| \geq (1 - \frac{1}{n}) \| x \|$

Published on 12 Dec 2015 - 6:13

List Question

Rearrangement of Schauder basis

If $X/F$ is separable, must $X/F$ isomorphic to $F$?

What is the difference between n-dim ($n<\infty$) Banach space and $R^n$?

Characterize the continuity of linear maps between Banach spaces in terms of continuous linear functionals

Examples for the Kuratowski–Fréchet theorem

For any Cauchy sequence in a Banach space we can pick the subsequence $\{{x_{n_k}\}}_{k=1}^\infty: \|x_{n_{k+1}}-x_{n_k}\|\lt 2^{-k} $?

How do completeness and being closed differ in a subspace?

Mujica's "Complex analysis in Banach spaces" exercise 1.2.B

Let $X$ be a Banach space, and $E$ a closed subspace, then $X/E$ is a Banach space

Representation of the elements of a normed vector space that has a dense subset.

the space of lipschitz function is complete with respect to some norm

Show that every Banach space is isometric to a subspace of an $L_{\infty}(\mu)$-space

If $N$ is a subset of $M$, show that $Lip_0(N)$ is linearly isomorphic to $Lip_0(\bar{N})$

V is isomorphic to U. U is Banach iff V is Banach

Show that if $E$ is a finite dimensional subspace of $l_p$, there exists an integer $m$ such that $\| P_m(x) \| \geq (1 - \frac{1}{n}) \| x \|$

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