Question

Uniform bound in $L^\infty(0,T;X)$ implies pointwise a.e. convergence in $Y$ if $X \subset Y$ is compact?

score 138 · Answer 1 · 2026-03-25 23:37:47

138

Views

Uniform bound in $L^\infty(0,T;X)$ implies pointwise a.e. convergence in $Y$ if $X \subset Y$ is compact?

Published on 25 Mar 2026 - 23:37

score 105 · Answer 2 · 2026-03-30 20:42:59

105

Views

False or true proof of $x^{2(1-x)}+(1-x)^{2(x)}<1$

Published on 30 Mar 2026 - 20:42

score 39 · Answer 3 · 2020-02-04 11:05:59

39

Views

If for each $a \in X$ and each $r > 0,\, \{F(x): ||x-a|| < r \} = \mathbb{R}$ , then $F$ is unbounded.

Published on 04 Feb 2020 - 11:05

score 108 · Answer 4 · 2020-02-04 14:10:02

108

Views

Computing $[L:K]$ (minimal polynomial)

Published on 04 Feb 2020 - 14:10

score 270 · Answer 5 · 2020-02-04 14:31:29

270

Views

Hartshorne proposition 3.4 simpler proof?

Published on 04 Feb 2020 - 14:31

score 46 · Answer 6 · 2020-02-04 15:21:30

46

Views

Is my proof for boundedness correct?

Published on 04 Feb 2020 - 15:21

score 46 · Answer 7 · 2020-02-04 16:35:47

46

Views

Understanding the idea of the proof in a question.

Published on 04 Feb 2020 - 16:35

score 149 · Answer 8 · 2020-02-04 17:01:41

149

Views

Compute $\lim\limits_{n\to \infty} \int_a^b \sin x \arctan(nx) dx$ for $a,b \in \mathbb{R}, a<b$.

Published on 04 Feb 2020 - 17:01

score 36 · Answer 9 · 2020-02-04 17:10:09

If elem. mat. E was obtained by executing row operation on I (adding multiple of another row), then EA executes the same row operation on A

score 579 · Answer 10 · 2026-03-26 07:35:36

579

Views

$\sum_{n=1}^\infty\frac{1}{n^p}$ converges if $p>1$ and diverges if $0<p\le 1$.

Published on 26 Mar 2026 - 7:35

score 109 · Answer 11 · 2026-03-27 00:10:08

109

Views

$\lim_{x\rightarrow\infty}f(x)=0$ given that f is continuously differentiable, $f'(x)$ is bounded and $\int_{a}^{\infty}\left|f(x)\right|dx$ exists

Published on 27 Mar 2026 - 0:10

score 41 · Answer 12 · 2020-02-04 21:19:04

41

Views

Prove that if $f$ is additive, fixes the origin and is continuous at it, then $f$ is continuous on $\Bbb R$

Published on 04 Feb 2020 - 21:19

score 148 · Answer 13 · 2020-02-04 21:19:20

148

Views

Prove that the Well Ordering Axiom does not apply to the rational and real numbers.

Published on 04 Feb 2020 - 21:19

score 151 · Answer 14 · 2020-02-04 21:31:25

151

Views

All cyclic submodules of $R/P$ are isomorphic to $R/P$

Published on 04 Feb 2020 - 21:31

score 62 · Answer 15 · 2020-02-04 22:20:56

62

Views

Space of bounded functions and $\mathbb{R}^N$

Published on 04 Feb 2020 - 22:20

List Question

Uniform bound in $L^\infty(0,T;X)$ implies pointwise a.e. convergence in $Y$ if $X \subset Y$ is compact?

False or true proof of $x^{2(1-x)}+(1-x)^{2(x)}<1$

If for each $a \in X$ and each $r > 0,\, \{F(x): ||x-a|| < r \} = \mathbb{R}$ , then $F$ is unbounded.

Computing $[L:K]$ (minimal polynomial)

Hartshorne proposition 3.4 simpler proof?

Is my proof for boundedness correct?

Understanding the idea of the proof in a question.

Compute $\lim\limits_{n\to \infty} \int_a^b \sin x \arctan(nx) dx$ for $a,b \in \mathbb{R}, a<b$.

If elem. mat. E was obtained by executing row operation on I (adding multiple of another row), then EA executes the same row operation on A

$\sum_{n=1}^\infty\frac{1}{n^p}$ converges if $p>1$ and diverges if $0<p\le 1$.

$\lim_{x\rightarrow\infty}f(x)=0$ given that f is continuously differentiable, $f'(x)$ is bounded and $\int_{a}^{\infty}\left|f(x)\right|dx$ exists

Prove that if $f$ is additive, fixes the origin and is continuous at it, then $f$ is continuous on $\Bbb R$

Prove that the Well Ordering Axiom does not apply to the rational and real numbers.

All cyclic submodules of $R/P$ are isomorphic to $R/P$

Space of bounded functions and $\mathbb{R}^N$

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