List questions from normed-spaces

Published on 25 Mar 2026 - 1:18

162

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$L_{1,1}$-norm and orthonormal matrices

Published on 27 Mar 2026 - 12:02

1.6k

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Example to linear but not continuous

Published on 11 Jun 2018 - 16:17

849

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Isomorphism and Homeomorphism in Normed Spaces

Published on 25 Mar 2026 - 4:39

150

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How to show $f(x) = ||x||^2 \cdot x$ is one-to-one?

Published on 12 Jun 2018 - 6:27

193

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$L_1$ norm of matrix and $L_{1,1}$ norm of multiplication with orthogonal matrix

Published on 25 Mar 2026 - 11:20

196

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Definition of a bounded subset of the cone of positive semidefinite matrices

Published on 24 Mar 2026 - 20:46

1.8k

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Triangle inequality for Schatten norms

Published on 13 Jun 2018 - 14:11

168

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Example on $X^$ is reflexive but $\sigma(X^,X)\neq\sigma(X^*,X^{**})$ for a normed space $X$.

Published on 23 Mar 2026 - 3:52

47

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Condition for $\|X_n^{-1}\|$ to be bounded?

Published on 25 Mar 2026 - 16:08

2.9k

Views

Is the "$p$-norm" with $0<p<1$ a concave function

Published on 14 Jun 2018 - 15:52

46

Views

Norm of function $h \in L^2(\mathbb{R}^3)$

Published on 26 Mar 2026 - 16:05

27

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Inexistence of norm in $\mathbb{R}^2$

Published on 25 Mar 2026 - 10:55

99

Views

A direct example on $X^$ is reflexive but the weak topology and weak topology on $X^*$ are not equal for a normed space $X$.

Published on 22 Mar 2026 - 17:45

80

Views

Function properties preserved under a change of metrics?

Published on 17 Jun 2018 - 9:19

List Question

Why is the spectral norm of a weighting matrix for a Hopfield network less than or equal to $1$?

$L_{1,1}$-norm and orthonormal matrices

Example to linear but not continuous

Isomorphism and Homeomorphism in Normed Spaces

How to show $f(x) = ||x||^2 \cdot x$ is one-to-one?

$L_1$ norm of matrix and $L_{1,1}$ norm of multiplication with orthogonal matrix

Definition of a bounded subset of the cone of positive semidefinite matrices

Triangle inequality for Schatten norms

Example on $X^$ is reflexive but $\sigma(X^,X)\neq\sigma(X^*,X^{**})$ for a normed space $X$.

Condition for $\|X_n^{-1}\|$ to be bounded?

Is the "$p$-norm" with $0<p<1$ a concave function

Norm of function $h \in L^2(\mathbb{R}^3)$

Inexistence of norm in $\mathbb{R}^2$

A direct example on $X^$ is reflexive but the weak topology and weak topology on $X^*$ are not equal for a normed space $X$.

Function properties preserved under a change of metrics?

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