List questions from normed-spaces

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81

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For what $p \in [1; +\infty)$ is $l_p$ a FD-space?

Published on 25 Mar 2026 - 18:31

40

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A problem about properties of uniform continious functions in a normed vector space.

Published on 19 Dec 2019 - 18:28

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When is the condition number of an orthogonal matrix equal to $1$

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Why does $(I-A)$ has inverse when $\|A \| < 1$

Published on 31 Mar 2026 - 22:44

76

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Find norm of linear operator subordinate to Euclid norm

Published on 20 Dec 2019 - 10:23

768

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Explicit calculation of condition number of a square matrix

Published on 23 Feb 2026 - 2:56

428

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Purpose of matrix normalization using a scaled identity matrix

Published on 26 Mar 2026 - 5:56

70

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What if $\|A^2\|_\infty=\|A\|^2_\infty$?

Published on 25 Mar 2026 - 19:01

138

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Very simple question : normed space is subspace of its bidual

Published on 26 Mar 2026 - 18:57

388

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Condition number of a diagonal matrix with norm not induced by an inner product

Published on 25 Mar 2026 - 6:34

150

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A function about continuous convergence i.e $f_n(x_n)\to f(x)$

Published on 24 Feb 2026 - 5:33

89

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Equivalence of norms in $L_p$ spaces.

Published on 02 Apr 2026 - 5:22

169

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Image of closed unit ball is not closed

Published on 21 Dec 2019 - 20:35

176

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Supnorms are equivalent with respect to two different bases

Published on 22 Dec 2019 - 12:22

List Question

Show that $\sqrt{\langle T(x), x \rangle}$ is a norm when $T$ is positive definite

For what $p \in [1; +\infty)$ is $l_p$ a FD-space?

A problem about properties of uniform continious functions in a normed vector space.

When is the condition number of an orthogonal matrix equal to $1$

Why does $(I-A)$ has inverse when $\|A \| < 1$

Find norm of linear operator subordinate to Euclid norm

Explicit calculation of condition number of a square matrix

Purpose of matrix normalization using a scaled identity matrix

What if $\|A^2\|_\infty=\|A\|^2_\infty$?

Very simple question : normed space is subspace of its bidual

Condition number of a diagonal matrix with norm not induced by an inner product

A function about continuous convergence i.e $f_n(x_n)\to f(x)$

Equivalence of norms in $L_p$ spaces.

Image of closed unit ball is not closed

Supnorms are equivalent with respect to two different bases

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