List questions from normed-spaces

46

Views

$X$ be real i.p.s. dim.>1 , if two closed balls,none of which is a subset of the other,intersect then do the boundaries of the balls intersect too?

Published on 08 Apr 2026 - 1:50

693

Views

LMI for maximum singular value

Published on 13 Apr 2026 - 7:31

6.7k

Views

Norm of multiplication and multiplication of norms

Published on 13 Apr 2026 - 14:21

1k

Views

Discriminant of real cyclotomic field

Published on 13 Apr 2026 - 3:54

586

Views

Equivalence of weighted supremum norm

Published on 11 Apr 2026 - 11:55

650

Views

Distributive property on trace norm

Published on 10 Apr 2026 - 0:04

714

Views

Show $d_2(f,g) = \sqrt{\int\limits_0^1 |f(x) - g(x)|^2 dx}$ is a metric on $C[0,1]$

Published on 20 Jul 2016 - 1:56

7.2k

Views

Calculation of the squared Euclidean norm

Published on 12 Apr 2026 - 19:25

35

Views

The norm of a simple linear functional

Published on 11 Apr 2026 - 11:20

45

Views

Vectors arbitrarily close to subspaces

Published on 11 Apr 2026 - 8:08

1.5k

Views

Why isn't $\ell^p$ locally convex for $0<p<1$?

Published on 28 Mar 2026 - 11:26

790

Views

Generalizing norms: leaving out absolute homogeneity

Published on 28 Mar 2026 - 13:05

2k

Views

Is the condition number of unitary matrix always equal to 1?

Published on 12 Apr 2026 - 20:11

782

Views

Smallest possible value of the norm?

Published on 11 Apr 2026 - 16:32

37

Views

Operatornorm of $(\mathbb{R}^d, \|\cdot\|_1) \to (\mathbb{R}^d, \|\cdot\|_{\infty})$

Published on 24 Jul 2016 - 12:23

List Question

$X$ be real i.p.s. dim.>1 , if two closed balls,none of which is a subset of the other,intersect then do the boundaries of the balls intersect too?

LMI for maximum singular value

Norm of multiplication and multiplication of norms

Discriminant of real cyclotomic field

Equivalence of weighted supremum norm

Distributive property on trace norm

Show $d_2(f,g) = \sqrt{\int\limits_0^1 |f(x) - g(x)|^2 dx}$ is a metric on $C[0,1]$

Calculation of the squared Euclidean norm

The norm of a simple linear functional

Vectors arbitrarily close to subspaces

Why isn't $\ell^p$ locally convex for $0<p<1$?

Generalizing norms: leaving out absolute homogeneity

Is the condition number of unitary matrix always equal to 1?

Smallest possible value of the norm?

Operatornorm of $(\mathbb{R}^d, \|\cdot\|_1) \to (\mathbb{R}^d, \|\cdot\|_{\infty})$

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