List questions from lp-spaces

Published on 14 Apr 2026 - 13:41

424

Views

Is $A=\{x \in \ell^2 \mid \sum_{n=1}^{\infty} \frac{x_n}{n}=0 \}$ dense in $\ell^2$

Published on 14 Apr 2026 - 6:36

847

Views

Are the Hermite-Gauss functions linearly dense in $L^1(\mathbb{R})$?

Published on 13 Apr 2026 - 18:11

183

Views

How to apply Sobolev inequalities?

Published on 11 Apr 2026 - 21:34

13k

Views

Separability of $l^{p}$ spaces

Published on 14 Apr 2026 - 9:48

1.6k

Views

$\{x \mapsto e^{2\pi i k x} \mid k \in \mathbb{N}\}$ is orthonormal basis of $L^2$

Published on 29 Mar 2026 - 8:35

2.6k

Views

Are there relations between elements of $L^p$ spaces?

Published on 12 Apr 2026 - 8:01

427

Views

Absolutely continuous function whose derivative is in $L^2([0,1])$ etc., evaluate $\lim_{x\to0^+}\frac{f(x)}{\sqrt{x}}$

Published on 24 Jul 2015 - 16:25

450

Views

Question on $L^p$ spaces defining metric

Published on 14 Apr 2026 - 8:12

133

Views

Show that the series converges ($l^2$)

Published on 28 Jul 2015 - 0:15

309

Views

Why can the elements of $L^\infty$ be approximated in $L^p$ by $C^1$-functions?

Published on 06 Apr 2026 - 11:02

79

Views

A form of Nash's inequality, $\|f\|_2\le C \|f\|_{1}^{\alpha} \|f'\|_2^\beta$

Published on 26 Mar 2026 - 22:18

643

Views

Multiplication operator on $L^1$

Published on 13 Apr 2026 - 8:43

375

Views

Specific question on $l^p$ spaces and its dual in weak * topology

Published on 12 Apr 2026 - 16:32

3.8k

Views

Pointwise almost everywhere convergent subsequence of $\{\sin (nx)\}$

Published on 14 Apr 2026 - 6:20

List Question

Is an $L^p$ function in an annulus $L^p$ restricted to almost all planes?

Is $A=\{x \in \ell^2 \mid \sum_{n=1}^{\infty} \frac{x_n}{n}=0 \}$ dense in $\ell^2$

Are the Hermite-Gauss functions linearly dense in $L^1(\mathbb{R})$?

How to apply Sobolev inequalities?

Separability of $l^{p}$ spaces

$\{x \mapsto e^{2\pi i k x} \mid k \in \mathbb{N}\}$ is orthonormal basis of $L^2$

Are there relations between elements of $L^p$ spaces?

Absolutely continuous function whose derivative is in $L^2([0,1])$ etc., evaluate $\lim_{x\to0^+}\frac{f(x)}{\sqrt{x}}$

Question on $L^p$ spaces defining metric

Show that the series converges ($l^2$)

Why can the elements of $L^\infty$ be approximated in $L^p$ by $C^1$-functions?

A form of Nash's inequality, $\|f\|_2\le C \|f\|_{1}^{\alpha} \|f'\|_2^\beta$

Multiplication operator on $L^1$

Specific question on $l^p$ spaces and its dual in weak * topology

Pointwise almost everywhere convergent subsequence of $\{\sin (nx)\}$

Trending Questions

Popular # Hahtags

Popular Questions