List questions from normed-spaces

587

Views

Prove that the dual of the matrix norm $||x||_A = \sqrt{x^T A x}$ equals its inverse $||x||_A^* = ||x||_{A^{-1}}$

Published on 25 Mar 2026 - 17:26

241

Views

Topological p-adic vector spaces are totally disconnected?

Published on 26 Mar 2026 - 17:34

121

Views

What is activity of argument in boolean function and the norm of a function?

Published on 28 Mar 2026 - 21:26

98

Views

Sequence spaces $l^p$

Published on 31 Mar 2026 - 9:23

201

Views

Does convergence for Cauchy sequence fail only when the limit is not in the domain?

Published on 26 Mar 2026 - 17:31

32

Views

$B_0(\mathcal{N},\mathcal{B})$ is Banach - The hypothesis of $\mathcal{B}$ being Banach cannot be removed

Published on 26 Mar 2026 - 4:33

141

Views

Do we have for all $M \in SL_n(\Bbb K)$, $\lVert M \rVert \geq 1$ when $\lVert \cdot \rVert$ is a matrix norm?

Published on 25 Mar 2026 - 11:16

251

Views

Is there a formula in $d$ for units of $\mathbb{Z}[\sqrt{d}]$?

Published on 28 Jun 2019 - 2:37

89

Views

Bound on the moment of Schatten norm

Published on 27 Mar 2026 - 6:07

90

Views

Showing that $\Vert k \Vert =1$

Published on 01 Apr 2026 - 9:19

249

Views

Is every norm for real matrices extensible to a norm for complex matrices?

Published on 28 Jun 2019 - 14:39

43

Views

Contraction and operator norm

Published on 28 Jun 2019 - 22:44

1k

Views

Normed vector space, product topology

Published on 26 Mar 2026 - 16:10

48

Views

Operatornorm Definition

Published on 01 Jul 2019 - 10:04

41

Views

Why can I say $p_{U}<\infty$

Published on 02 Jul 2019 - 21:24

List Question

Prove that the dual of the matrix norm $||x||_A = \sqrt{x^T A x}$ equals its inverse $||x||_A^* = ||x||_{A^{-1}}$

Topological p-adic vector spaces are totally disconnected?

What is activity of argument in boolean function and the norm of a function?

Sequence spaces $l^p$

Does convergence for Cauchy sequence fail only when the limit is not in the domain?

$B_0(\mathcal{N},\mathcal{B})$ is Banach - The hypothesis of $\mathcal{B}$ being Banach cannot be removed

Do we have for all $M \in SL_n(\Bbb K)$, $\lVert M \rVert \geq 1$ when $\lVert \cdot \rVert$ is a matrix norm?

Is there a formula in $d$ for units of $\mathbb{Z}[\sqrt{d}]$?

Bound on the moment of Schatten norm

Showing that $\Vert k \Vert =1$

Is every norm for real matrices extensible to a norm for complex matrices?

Contraction and operator norm

Normed vector space, product topology

Operatornorm Definition

Why can I say $p_{U}<\infty$

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