Question

Equality between two integrals

score 49 · Answer 1 · 2026-04-12 00:04:48

49

Views

Equality between two integrals

Published on 12 Apr 2026 - 0:04

score 133 · Answer 2 · 2026-04-09 02:08:36

133

Views

Is it true $\mu (A+B) = \mu (A) + \mu(B) $ for bounded sets $ A, B \subset R $

Published on 09 Apr 2026 - 2:08

score 154 · Answer 3 · 2026-04-11 18:04:30

154

Views

Conceptualizing the concept of outer measure.

Published on 11 Apr 2026 - 18:04

score 37 · Answer 4 · 2026-04-11 01:47:58

37

Views

Condition on $\nu$ which makes the inclusion map from $C(X)$ to $L^{\infty}(X)$ injective

Published on 11 Apr 2026 - 1:47

score 202 · Answer 5 · 2026-04-01 16:23:01

202

Views

If $|E|=0$ then $f$ is measurable

Published on 01 Apr 2026 - 16:23

score 54 · Answer 6 · 2026-04-09 02:09:54

54

Views

Characterizing the dual space of the linear space of the signed measures generated by a given set of measures.

Published on 09 Apr 2026 - 2:09

score 121 · Answer 7 · 2026-04-09 03:54:54

121

Views

$f: [0,1]\rightarrow L^1(\Omega)$ as a (measurable?) function from $[0,1]\times \Omega\rightarrow \mathbb{R}$

Published on 09 Apr 2026 - 3:54

score 351 · Answer 8 · 2026-04-08 16:29:04

351

Views

Recommended books for measure theory and functional analysis

Published on 08 Apr 2026 - 16:29

score 964 · Answer 9 · 2026-04-11 08:42:56

964

Views

Sigma-algebra Generated By Rectangle on $R^2$

Published on 11 Apr 2026 - 8:42

score 682 · Answer 10 · 2026-04-09 04:14:01

682

Views

For $E\subset\mathbb R^n$ with Lebesgue outer measure $0<m^(E)<\infty$, $\alpha\in(0,1)$, there is a ball $B$ with $m^(E\cap B)\ge \alpha m^*(B)$.

Published on 09 Apr 2026 - 4:14

score 400 · Answer 11 · 2018-02-08 17:14:03

400

Views

Determine if $f=g$ almost everywhere.

Published on 08 Feb 2018 - 17:14

score 165 · Answer 12 · 2026-03-25 06:06:54

165

Views

Proof of the isomorphism $L^2(X\times Y) \equiv L^2(X)\otimes L^2(Y)$

Published on 25 Mar 2026 - 6:06

score 29 · Answer 13 · 2026-04-07 05:56:31

29

Views

When does an action on $X$ makes an well defined action on $L^{\infty}(X)$?

Published on 07 Apr 2026 - 5:56

score 667 · Answer 14 · 2026-04-11 17:52:06

667

Views

Removing middle fourths instead of middle thirds in Cantor Set

Published on 11 Apr 2026 - 17:52

score 145 · Answer 15 · 2018-02-08 20:37:34

145

Views

Express each step function involving disjoint intervals

Published on 08 Feb 2018 - 20:37

List Question

Equality between two integrals

Is it true $\mu (A+B) = \mu (A) + \mu(B) $ for bounded sets $ A, B \subset R $

Conceptualizing the concept of outer measure.

Condition on $\nu$ which makes the inclusion map from $C(X)$ to $L^{\infty}(X)$ injective

If $|E|=0$ then $f$ is measurable

Characterizing the dual space of the linear space of the signed measures generated by a given set of measures.

$f: [0,1]\rightarrow L^1(\Omega)$ as a (measurable?) function from $[0,1]\times \Omega\rightarrow \mathbb{R}$

Recommended books for measure theory and functional analysis

Sigma-algebra Generated By Rectangle on $R^2$

For $E\subset\mathbb R^n$ with Lebesgue outer measure $0<m^(E)<\infty$, $\alpha\in(0,1)$, there is a ball $B$ with $m^(E\cap B)\ge \alpha m^*(B)$.

Determine if $f=g$ almost everywhere.

Proof of the isomorphism $L^2(X\times Y) \equiv L^2(X)\otimes L^2(Y)$

When does an action on $X$ makes an well defined action on $L^{\infty}(X)$?

Removing middle fourths instead of middle thirds in Cantor Set

Express each step function involving disjoint intervals

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