Question

Getting Radon-integrals arbitrarily small outside compact sets

score 55 · Answer 1 · 2026-04-13 06:44:39

55

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Getting Radon-integrals arbitrarily small outside compact sets

Published on 13 Apr 2026 - 6:44

score 89 · Answer 2 · 2026-04-15 06:50:32

89

Views

lim sup behaviour of a sequence of integrable functions

Published on 15 Apr 2026 - 6:50

score 468 · Answer 3 · 2026-04-11 12:03:25

468

Views

Set which is locally $\iota-$null but not $\iota$-null

Published on 11 Apr 2026 - 12:03

score 71 · Answer 4 · 2026-04-11 13:34:34

71

Views

Spectral Invariants

Published on 11 Apr 2026 - 13:34

score 144 · Answer 5 · 2026-04-14 07:38:59

144

Views

A strengthened implication of the ergodicity

Published on 14 Apr 2026 - 7:38

score 1.1k · Answer 6 · 2026-04-23 15:46:01

1.1k

Views

Showing that $\mathbb{Q} \in B_\mathbb{R}$ (Showing $\mathbb{Q}$ is a Borel set)

Published on 23 Apr 2026 - 15:46

score 86 · Answer 7 · 2026-04-15 22:37:59

86

Views

Prove that $m(A) = \int_{0}^{1}f(x)\mathrm{d}x$ where $m$ is Lebesgue Measure.

Published on 15 Apr 2026 - 22:37

score 1k · Answer 8 · 2026-04-10 22:38:06

How to show that the given sequence of functions converges to $f$ almost everywhere, almost uniformly and in measure?

score 214 · Answer 9 · 2026-04-26 16:08:54

214

Views

Monotone Class Theorem for Bounded Nonnegative Functions

Published on 26 Apr 2026 - 16:08

score 145 · Answer 10 · 2026-04-23 15:43:35

145

Views

Showing the following set is a $\sigma$ algebra. Proof verification.

Published on 23 Apr 2026 - 15:43

score 115 · Answer 11 · 2026-04-16 03:53:41

115

Views

Lebesgue points for vector valued functions

Published on 16 Apr 2026 - 3:53

score 193 · Answer 12 · 2026-04-16 13:31:40

193

Views

Why do we need countability of A to prove proposition 1.3 in Folland Real Analysis?

Published on 16 Apr 2026 - 13:31

score 97 · Answer 13 · 2026-04-11 18:43:47

97

Views

Turn two probability spaces with $\mathbb {P_1,P_2}$ into one probability space with one $\mathbb P$

Published on 11 Apr 2026 - 18:43

score 3k · Answer 14 · 2026-04-16 06:03:00

3k

Views

Show $A$ is a Lebesgue Measurable set $\iff$ there exists $F_\sigma$ set such that $G_\delta$ set $m(G \setminus A) = m(A \setminus F) = 0$

Published on 16 Apr 2026 - 6:03

score 527 · Answer 15 · 2026-04-15 22:06:21

527

Views

Show that $\mu(\bigcap\limits_{n=1}^{\infty}F_{n})=\lim\mu(F_{n})$ can fail if $\mu(F_1) = +\infty$

Published on 15 Apr 2026 - 22:06

List Question

Getting Radon-integrals arbitrarily small outside compact sets

lim sup behaviour of a sequence of integrable functions

Set which is locally $\iota-$null but not $\iota$-null

Spectral Invariants

A strengthened implication of the ergodicity

Showing that $\mathbb{Q} \in B_\mathbb{R}$ (Showing $\mathbb{Q}$ is a Borel set)

Prove that $m(A) = \int_{0}^{1}f(x)\mathrm{d}x$ where $m$ is Lebesgue Measure.

How to show that the given sequence of functions converges to $f$ almost everywhere, almost uniformly and in measure?

Monotone Class Theorem for Bounded Nonnegative Functions

Showing the following set is a $\sigma$ algebra. Proof verification.

Lebesgue points for vector valued functions

Why do we need countability of A to prove proposition 1.3 in Folland Real Analysis?

Turn two probability spaces with $\mathbb {P_1,P_2}$ into one probability space with one $\mathbb P$

Show $A$ is a Lebesgue Measurable set $\iff$ there exists $F_\sigma$ set such that $G_\delta$ set $m(G \setminus A) = m(A \setminus F) = 0$

Show that $\mu(\bigcap\limits_{n=1}^{\infty}F_{n})=\lim\mu(F_{n})$ can fail if $\mu(F_1) = +\infty$

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