Question

Show that $F=\{f\in H^1(D):\|f\|\le 1\}$ is locally bounded family

score 154 · Answer 1 · 2026-04-13 22:49:12

154

Views

Show that $F=\{f\in H^1(D):\|f\|\le 1\}$ is locally bounded family

Published on 13 Apr 2026 - 22:49

score 74 · Answer 2 · 2026-03-25 02:57:14

74

Views

Characterizing elements with same (function field) norm knowing principal divisors

Published on 25 Mar 2026 - 2:57

score 209 · Answer 3 · 2026-04-14 15:59:00

209

Views

Normed space and absolute value

Published on 14 Apr 2026 - 15:59

score 810 · Answer 4 · 2026-04-10 23:13:00

810

Views

Find the operator norm.

Published on 10 Apr 2026 - 23:13

score 711 · Answer 5 · 2026-03-26 01:00:26

711

Views

Failure of closed graph theorem in this example

Published on 26 Mar 2026 - 1:00

score 38 · Answer 6 · 2026-04-16 06:04:53

38

Views

Show max $\lVert proj_{w^\perp} u_i \rVert^2 = 1, \quad \lVert u_i \rVert = 1$

Published on 16 Apr 2026 - 6:04

score 5.1k · Answer 7 · 2026-04-21 06:32:09

5.1k

Views

Definition of subgradient of $1$-norm

Published on 21 Apr 2026 - 6:32

score 2.7k · Answer 8 · 2026-04-17 04:20:26

2.7k

Views

$C^{1}([0,1])$ is dense in $C([0,1])$

Published on 17 Apr 2026 - 4:20

score 118 · Answer 9 · 2026-04-11 21:18:24

118

Views

Understanding the proof that $C_b(\mathbb{R})$ is complete.

Published on 11 Apr 2026 - 21:18

score 72 · Answer 10 · 2026-04-15 11:54:39

72

Views

Limit of a sequence of functionals $F_n : C([0,1]) \to \mathbb{R}$

Published on 15 Apr 2026 - 11:54

score 36 · Answer 11 · 2026-04-15 23:44:38

36

Views

Consider some neighborhood $N_{1 \over 12}({\bf 0})$ in $\mathbb R^3$. For any $x\in N_{1 \over 12}({\bf 0})$, are $|x_1|,|x_2|,|x_3|< {1\over 12}$?

Published on 15 Apr 2026 - 23:44

score 43 · Answer 12 · 2026-04-16 06:53:02

43

Views

Existence of bounded continuous $f:\mathbb{R} \to \mathbb{R}$ st. $\sup_{n \in \mathbb{N}}| \int_{-n}^{n} f(t)\sin(2 \pi n t)dt| = \infty$

Published on 16 Apr 2026 - 6:53

score 53 · Answer 13 · 2026-04-13 06:47:33

53

Views

Linear surjective operator's property proof

Published on 13 Apr 2026 - 6:47

score 129 · Answer 14 · 2026-04-16 09:12:13

129

Views

Complete domain is necessary for Banach-Steinhaus Theorem

Published on 16 Apr 2026 - 9:12

score 51 · Answer 15 · 2026-04-12 17:30:22

51

Views

A series of sequences in $l^{p}$ is a linear continuous functional

Published on 12 Apr 2026 - 17:30

List Question

Show that $F=\{f\in H^1(D):\|f\|\le 1\}$ is locally bounded family

Characterizing elements with same (function field) norm knowing principal divisors

Normed space and absolute value

Find the operator norm.

Failure of closed graph theorem in this example

Show max $\lVert proj_{w^\perp} u_i \rVert^2 = 1, \quad \lVert u_i \rVert = 1$

Definition of subgradient of $1$-norm

$C^{1}([0,1])$ is dense in $C([0,1])$

Understanding the proof that $C_b(\mathbb{R})$ is complete.

Limit of a sequence of functionals $F_n : C([0,1]) \to \mathbb{R}$

Consider some neighborhood $N_{1 \over 12}({\bf 0})$ in $\mathbb R^3$. For any $x\in N_{1 \over 12}({\bf 0})$, are $|x_1|,|x_2|,|x_3|< {1\over 12}$?

Existence of bounded continuous $f:\mathbb{R} \to \mathbb{R}$ st. $\sup_{n \in \mathbb{N}}| \int_{-n}^{n} f(t)\sin(2 \pi n t)dt| = \infty$

Linear surjective operator's property proof

Complete domain is necessary for Banach-Steinhaus Theorem

A series of sequences in $l^{p}$ is a linear continuous functional

Trending Questions

Popular # Hahtags

Popular Questions