User Robert

4 votes

1 answer

113 views

Proof of a theorem about generators of uniformly continuous semigroup

asked Mar 25, 2022 at 11:43

3 votes

0 answers

45 views

Prove that is continuous and calculate its norm [duplicate]

asked Oct 16, 2021 at 13:04

3 votes

1 answer

206 views

Question about Hille Yosida Theorem proof

asked May 7, 2022 at 17:43

3 votes

0 answers

79 views

Please check the proof about uniform convergence of fourier series

asked Feb 24, 2022 at 11:12

1 vote

0 answers

59 views

$L_\infty$ inclusion

asked Nov 16, 2021 at 17:06

1 vote

0 answers

32 views

$L_p$ and measure convergence

asked Dec 11, 2021 at 10:56

1 vote

0 answers

34 views

every uniformly continuous semigroup of operators can be extended to a uniformly continuous group

asked Apr 3, 2022 at 17:53

1 vote

1 answer

69 views

Equivalence with linear open maps in normed spaces

asked Oct 12, 2021 at 20:35

1 vote

1 answer

207 views

$f:X\to Y$ continuous and open, prove: if $D\subseteq Y$ is dense $\implies f^{-1}[D]$ is dense [duplicate]

asked Jun 3, 2020 at 10:10

1 vote

1 answer

37 views

$X$ is $T_1\Longleftrightarrow \bigcap_{U\in\mathcal{E}(x)} U=\{x\}$

asked Jun 7, 2020 at 10:26

1 vote

1 answer

136 views

Epicycloid is periodic if and only if $R/r$ is rational

asked Dec 10, 2020 at 19:21

0 votes

0 answers

45 views

Curve defined via integral

asked Dec 27, 2020 at 21:02

0 votes

0 answers

129 views

Intersection of a sphere and cylinder (Viviani´s Curve)

asked Feb 24, 2021 at 20:13

0 votes

1 answer

75 views

X regular and K compact prove $\overline{K}$ is compact [duplicate]

asked Jun 8, 2020 at 8:50

0 votes

1 answer

245 views

$f, g$ are probability density functions of an exponential distribution, prove h is $\gamma (\lambda ,2)$

asked Jun 3, 2020 at 15:44

0 votes

1 answer

69 views

$f, g$ are probability density functions of an normal distribution N(0,1), prove h is $N(0,\sqrt 2)$

asked Jun 3, 2020 at 18:18

0 votes

1 answer

211 views

Please check: $f:X\longrightarrow Y$ perfect map. Let $X$ be second countable, prove $Y$ is second countable

asked Jun 5, 2020 at 15:28

0 votes

1 answer

62 views

Convergence with indicator functions

asked Dec 11, 2021 at 19:41

0 votes

2 answers

78 views

if $f_n\geq 0$ a.e. and $f_n\longrightarrow f$ in measure then $f\geq 0$ a.e.

asked Dec 13, 2021 at 9:37

0 votes

3 answers

62 views

Computing the determinant using $\det (A^2 C+I) = 1$

asked Jun 16, 2023 at 10:39

-1 votes

1 answer

42 views

$X$ is $T_0$ $\;\Longleftrightarrow\;$ $\overline{\{x\}} \neq \overline{\{y\}} \; \forall x\neq y$ [closed]

asked May 16, 2020 at 10:02

Stack Exchange Network

21 Questions

Proof of a theorem about generators of uniformly continuous semigroup

Prove that is continuous and calculate its norm [duplicate]

Question about Hille Yosida Theorem proof

Please check the proof about uniform convergence of fourier series

$L_\infty$ inclusion

$L_p$ and measure convergence

every uniformly continuous semigroup of operators can be extended to a uniformly continuous group

Equivalence with linear open maps in normed spaces

$f:X\to Y$ continuous and open, prove: if $D\subseteq Y$ is dense $\implies f^{-1}[D]$ is dense [duplicate]

$X$ is $T_1\Longleftrightarrow \bigcap_{U\in\mathcal{E}(x)} U=\{x\}$

Epicycloid is periodic if and only if $R/r$ is rational

Curve defined via integral

Intersection of a sphere and cylinder (Viviani´s Curve)

X regular and K compact prove $\overline{K}$ is compact [duplicate]

$f, g$ are probability density functions of an exponential distribution, prove h is $\gamma (\lambda ,2)$

$f, g$ are probability density functions of an normal distribution N(0,1), prove h is $N(0,\sqrt 2)$

Please check: $f:X\longrightarrow Y$ perfect map. Let $X$ be second countable, prove $Y$ is second countable

Convergence with indicator functions

if $f_n\geq 0$ a.e. and $f_n\longrightarrow f$ in measure then $f\geq 0$ a.e.

Computing the determinant using $\det (A^2 C+I) = 1$

$X$ is $T_0$ $\;\Longleftrightarrow\;$ $\overline{\{x\}} \neq \overline{\{y\}} \; \forall x\neq y$ [closed]