Question

Show that $L^1_\mathcal{F}$ is separable

score 76 · Answer 1 · 2021-03-18 01:34:42

76

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Show that $L^1_\mathcal{F}$ is separable

Published on 18 Mar 2021 - 1:34

score 495 · Answer 2 · 2021-03-28 12:51:39

495

Views

If $X$ is a compact metric space then $C(X)$ is a separable space.

Published on 28 Mar 2021 - 12:51

score 92 · Answer 3 · 2026-02-23 08:39:56

92

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Why the space of Katětov functions with finite support is separable?

Published on 23 Feb 2026 - 8:39

score 210 · Answer 4 · 2021-03-31 23:39:23

210

Views

Show that a subspace contains a sequence of unit vectors that is norming

Published on 31 Mar 2021 - 23:39

score 142 · Answer 5 · 2021-04-06 07:47:17

142

Views

Is there a locally compact, locally path-connected, connected metric space that is not a length space?

Published on 06 Apr 2021 - 7:47

score 35 · Answer 6 · 2021-04-09 09:57:56

35

Views

Functional analysis - Hilbert space - Existence of subsequence

Published on 09 Apr 2021 - 9:57

score 80 · Answer 7 · 2021-04-11 03:24:32

80

Views

$l^2:=\{x=(x_1,x_2,\dots,x_n,\dots)|x_1,x_2,\dots,x_n,\dots\in\mathbb{R},\sum_{k=1}^\infty x_k^2<\infty\}$ is separable.

Published on 11 Apr 2021 - 3:24

score 280 · Answer 8 · 2021-04-12 15:00:36

280

Views

If $B$ is the set of condensation points of a set $A$, show that every point of $B$ is a condensation point of $B$.

Published on 12 Apr 2021 - 15:00

score 37 · Answer 9 · 2021-04-12 19:22:38

37

Views

Criteria for the bound of an operator acting on an infinite dimensional Hilbert space

Published on 12 Apr 2021 - 19:22

score 265 · Answer 10 · 2021-04-22 14:46:00

265

Views

$C[0,1]$ is separable: Theorem $11.2$ Carothers' Real Analysis

Published on 22 Apr 2021 - 14:46

score 77 · Answer 11 · 2021-04-24 16:05:31

77

Views

Is the space of continuous functions with a given inner product separable?

Published on 24 Apr 2021 - 16:05

score 628 · Answer 12 · 2021-04-29 13:32:51

628

Views

Subsets of separable Hilbert spaces are separable

Published on 29 Apr 2021 - 13:32

score 40 · Answer 13 · 2021-05-01 17:01:29

40

Views

Uncountable subset with lower bounded distances has cardinality at least $c$?

Published on 01 May 2021 - 17:01

score 189 · Answer 14 · 2021-05-01 17:38:00

189

Views

Problem 10, section 4.2 of R.M. Dudley, Real Analysis and Probability

Published on 01 May 2021 - 17:38

score 39 · Answer 15 · 2021-05-28 11:19:34

39

Views

Linear Order on Polish spaces

Published on 28 May 2021 - 11:19

List Question

Show that $L^1_\mathcal{F}$ is separable

If $X$ is a compact metric space then $C(X)$ is a separable space.

Why the space of Katětov functions with finite support is separable?

Show that a subspace contains a sequence of unit vectors that is norming

Is there a locally compact, locally path-connected, connected metric space that is not a length space?

Functional analysis - Hilbert space - Existence of subsequence

$l^2:=\{x=(x_1,x_2,\dots,x_n,\dots)|x_1,x_2,\dots,x_n,\dots\in\mathbb{R},\sum_{k=1}^\infty x_k^2<\infty\}$ is separable.

If $B$ is the set of condensation points of a set $A$, show that every point of $B$ is a condensation point of $B$.

Criteria for the bound of an operator acting on an infinite dimensional Hilbert space

$C[0,1]$ is separable: Theorem $11.2$ Carothers' Real Analysis

Is the space of continuous functions with a given inner product separable?

Subsets of separable Hilbert spaces are separable

Uncountable subset with lower bounded distances has cardinality at least $c$?

Problem 10, section 4.2 of R.M. Dudley, Real Analysis and Probability

Linear Order on Polish spaces

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