Question

Show the existence of a continuous functional

score 24 · Answer 1 · 2018-03-18 15:57:06

24

Views

Show the existence of a continuous functional

Published on 18 Mar 2018 - 15:57

score 107 · Answer 2 · 2026-03-26 22:16:06

107

Views

Series of short questions intended to clarify $p$-norm of vectors with complex elements

Published on 26 Mar 2026 - 22:16

score 142 · Answer 3 · 2018-03-18 20:13:30

142

Views

$\sup_{x,y}\frac{|f(x)-f(y)|}{|x-y|} = \sup_x \|D_f(x)\|$

Published on 18 Mar 2018 - 20:13

score 444 · Answer 4 · 2026-03-26 03:07:53

444

Views

How the norm-closed unit ball of $c_0$ is not weakly compact?

Published on 26 Mar 2026 - 3:07

score 237 · Answer 5 · 2018-03-19 09:21:26

237

Views

How is the (global) $L^2$ norm defined for a discrete vector field?

Published on 19 Mar 2018 - 9:21

score 323 · Answer 6 · 2026-03-26 22:47:24

323

Views

Infinity norm quotient

Published on 26 Mar 2026 - 22:47

score 314 · Answer 7 · 2026-03-25 15:11:11

314

Views

Showing that a linear map does not achieve its norm

Published on 25 Mar 2026 - 15:11

score 34 · Answer 8 · 2026-03-25 15:17:48

34

Views

Exists an $h$ such that $\lVert u + hv \rVert_{\infty}= \max_{x \in U}|u(x)+hv(x)|$

Published on 25 Mar 2026 - 15:17

score 558 · Answer 9 · 2026-03-25 14:25:42

558

Views

Inequality for the Schatten norm of symmetric plus antisymmetric matrix

Published on 25 Mar 2026 - 14:25

score 427 · Answer 10 · 2026-03-25 00:01:36

427

Views

C$^*$-algebras: When is there equality in the triangle inequality?

Published on 25 Mar 2026 - 0:01

score 843 · Answer 11 · 2026-03-19 19:28:26

843

Views

Gradient of a function with respect to a matrix

Published on 19 Mar 2026 - 19:28

score 179 · Answer 12 · 2018-03-21 19:01:36

179

Views

Inverse matrix inequality $\|A^{-1}v\|_2 \ge \|A^{-1}\|_2|u^Tv|$

Published on 21 Mar 2018 - 19:01

score 32 · Answer 13 · 2026-03-26 17:36:21

32

Views

The elements of the set $\;g+W^{1,2}(\mathbb R;\mathbb R^n)\;$ have limits at infinity

Published on 26 Mar 2026 - 17:36

score 34 · Answer 14 · 2018-03-22 16:14:38

34

Views

For $\{x_n\}\in X$ do we always have $\lim_{n\to\infty}\|x_n\| = 0 \quad \text{iff}\quad\lim_{n\to \infty}x_n=0?$

Published on 22 Mar 2018 - 16:14

score 264 · Answer 15 · 2026-03-25 01:31:11

264

Views

Showing $X$ is a Banach space using a sequence of elements $\{x_n\}$ that satisfies two conditions?

Published on 25 Mar 2026 - 1:31

List Question

Show the existence of a continuous functional

Series of short questions intended to clarify $p$-norm of vectors with complex elements

$\sup_{x,y}\frac{|f(x)-f(y)|}{|x-y|} = \sup_x \|D_f(x)\|$

How the norm-closed unit ball of $c_0$ is not weakly compact?

How is the (global) $L^2$ norm defined for a discrete vector field?

Infinity norm quotient

Showing that a linear map does not achieve its norm

Exists an $h$ such that $\lVert u + hv \rVert_{\infty}= \max_{x \in U}|u(x)+hv(x)|$

Inequality for the Schatten norm of symmetric plus antisymmetric matrix

C$^*$-algebras: When is there equality in the triangle inequality?

Gradient of a function with respect to a matrix

Inverse matrix inequality $\|A^{-1}v\|_2 \ge \|A^{-1}\|_2|u^Tv|$

The elements of the set $\;g+W^{1,2}(\mathbb R;\mathbb R^n)\;$ have limits at infinity

For $\{x_n\}\in X$ do we always have $\lim_{n\to\infty}\|x_n\| = 0 \quad \text{iff}\quad\lim_{n\to \infty}x_n=0?$

Showing $X$ is a Banach space using a sequence of elements $\{x_n\}$ that satisfies two conditions?

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