List questions from normed-spaces

Published on 25 Mar 2026 - 1:33

296

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Calculating a Matrix Norm

Published on 28 Oct 2014 - 16:54

107

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Is this a valid operator norm?

Published on 29 Oct 2014 - 3:01

32

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Prove $ \left \| \left [ G \: \: \: \: I \right ] \right \|^{2}_{\infty }\leqslant \left \| G\right \|^{2}_{\infty } +1 $

Published on 29 Oct 2014 - 8:13

49

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Prove that this is a norm?

Published on 29 Oct 2014 - 10:01

185

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Prove that $0 < x < y$ implies $\|x\| < \|y\|$ for any norm.

Published on 29 Oct 2014 - 13:34

42

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When is $\| X \| _\star = \| F X \| _2$ submultiplicative?

Published on 29 Oct 2014 - 14:08

137

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Is it true that $\|\operatorname{diag}(\pi) P\|_2 \leq 1$ for $P$ stochastic and $\pi P = \pi$.

Published on 02 Apr 2026 - 3:17

526

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Convergence of a sequence of linearly independent vectors in normed space

Published on 30 Oct 2014 - 0:35

770

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Trace norm identity (in bra-ket notation)

Published on 28 Mar 2026 - 2:48

990

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upper bound on a matrix norm

Published on 30 Mar 2026 - 5:10

119

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$p$-norm on $\mathbb{R}^n$ question

Published on 30 Oct 2014 - 21:51

111

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Bounded Linear Maps on Normed Vector Spaces

Published on 31 Oct 2014 - 6:19

52

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Are there properties of vector space equipped with two norms?

Published on 31 Oct 2014 - 6:24

70

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Prove the norm inequality.

Published on 02 Nov 2014 - 19:24

List Question

distance between solutions in a convex optimization

Calculating a Matrix Norm

Is this a valid operator norm?

Prove $ \left \| \left [ G \: \: \: \: I \right ] \right \|^{2}_{\infty }\leqslant \left \| G\right \|^{2}_{\infty } +1 $

Prove that this is a norm?

Prove that $0 < x < y$ implies $\|x\| < \|y\|$ for any norm.

When is $\| X \| _\star = \| F X \| _2$ submultiplicative?

Is it true that $\|\operatorname{diag}(\pi) P\|_2 \leq 1$ for $P$ stochastic and $\pi P = \pi$.

Convergence of a sequence of linearly independent vectors in normed space

Trace norm identity (in bra-ket notation)

upper bound on a matrix norm

$p$-norm on $\mathbb{R}^n$ question

Bounded Linear Maps on Normed Vector Spaces

Are there properties of vector space equipped with two norms?

Prove the norm inequality.

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