Question

Completeness and norm spaces

score 41 · Answer 1 · 2026-03-25 11:52:58

41

Views

Completeness and norm spaces

Published on 25 Mar 2026 - 11:52

score 276 · Answer 2 · 2018-04-10 03:42:56

276

Views

Prove the $\ell^2$ norm of a linear transformation $A: \mathbb{R}^n \to \mathbb R^n$ is the maximum eigenvalue

Published on 10 Apr 2018 - 3:42

score 35 · Answer 3 · 2018-04-10 11:33:20

35

Views

Proving a sequence of vectors converges to 0 in $\ell^{3}$

Published on 10 Apr 2018 - 11:33

score 283 · Answer 4 · 2026-03-25 05:07:06

283

Views

Prove $\|A\| \leq \|A\|_{HS}$, where $\|A\|$ is the operator norm of A

Published on 25 Mar 2026 - 5:07

score 106 · Answer 5 · 2026-03-25 03:02:16

106

Views

Prove that $\|\mathbf{X}\|_\sigma \leq \sqrt{rank(X)} \|\mathbf{X}\|_F$

Published on 25 Mar 2026 - 3:02

score 380 · Answer 6 · 2026-03-22 22:53:51

380

Views

My attempt to show the canonical embedding $c_0\rightarrow c_0^{**}$ is not surjective?

Published on 22 Mar 2026 - 22:53

score 37 · Answer 7 · 2026-03-26 11:02:12

37

Views

How to use the convexity of the norm with the limit?

Published on 26 Mar 2026 - 11:02

score 194 · Answer 8 · 2026-03-25 19:05:05

194

Views

Is it possible extend a continuous seminorm on a dense subspace of a Banach space to complete space?

Published on 25 Mar 2026 - 19:05

score 103 · Answer 9 · 2026-03-25 06:04:22

103

Views

Derivative of $f\big(A vec(X)\big)$ with respect to $X$

Published on 25 Mar 2026 - 6:04

score 121 · Answer 10 · 2018-04-12 17:52:35

121

Views

Use cardinality to show the canonical embedding $c_0\rightarrow c_0^{**}$ is not surjective.

Published on 12 Apr 2018 - 17:52

score 85 · Answer 11 · 2026-03-22 22:20:48

85

Views

P normal cone of a cone metric space, given $\epsilon > 0$, can we choose c interior point of P ($c \gg 0$) s.t $\|c\| < \epsilon/K$

Published on 22 Mar 2026 - 22:20

score 332 · Answer 12 · 2026-03-26 04:34:24

332

Views

How I can calculate the norm of this matrix

Published on 26 Mar 2026 - 4:34

score 704 · Answer 13 · 2026-03-25 03:07:34

704

Views

Surface Area of a $p$-norm Sphere in $\mathbb{R}^n$

Published on 25 Mar 2026 - 3:07

score 87 · Answer 14 · 2018-04-14 03:32:41

87

Views

Bregman Matrix Divergence induced by trace norm

Published on 14 Apr 2018 - 3:32

score 176 · Answer 15 · 2018-04-14 08:04:28

176

Views

A bounded linear functional whose kernel is the line through points $x_0,-x_0$

Published on 14 Apr 2018 - 8:04

List Question

Completeness and norm spaces

Prove the $\ell^2$ norm of a linear transformation $A: \mathbb{R}^n \to \mathbb R^n$ is the maximum eigenvalue

Proving a sequence of vectors converges to 0 in $\ell^{3}$

Prove $\|A\| \leq \|A\|_{HS}$, where $\|A\|$ is the operator norm of A

Prove that $\|\mathbf{X}\|_\sigma \leq \sqrt{rank(X)} \|\mathbf{X}\|_F$

My attempt to show the canonical embedding $c_0\rightarrow c_0^{**}$ is not surjective?

How to use the convexity of the norm with the limit?

Is it possible extend a continuous seminorm on a dense subspace of a Banach space to complete space?

Derivative of $f\big(A vec(X)\big)$ with respect to $X$

Use cardinality to show the canonical embedding $c_0\rightarrow c_0^{**}$ is not surjective.

P normal cone of a cone metric space, given $\epsilon > 0$, can we choose c interior point of P ($c \gg 0$) s.t $\|c\| < \epsilon/K$

How I can calculate the norm of this matrix

Surface Area of a $p$-norm Sphere in $\mathbb{R}^n$

Bregman Matrix Divergence induced by trace norm

A bounded linear functional whose kernel is the line through points $x_0,-x_0$

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