List questions from normed-spaces

Published on 26 Mar 2026 - 1:00

103

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Show that $C_1(1+||x||^2)^k \leq \sum_{|\alpha| \leq k} x^{2\alpha} \leq C_2 (1+||x||^2)^k$

Published on 27 Mar 2026 - 20:21

77

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Norms, Metrics, Measures, and Volume on $\mathbb{R}^n$

Published on 02 Sep 2019 - 16:20

160

Views

Nuclear norm of self-adjoint matrix

Published on 27 Mar 2026 - 10:47

83

Views

Bound absolute value of maximum with function of norms

Published on 04 Sep 2019 - 20:15

51

Views

If $f:V \to W$ is a continuous group homomorphism, then $f$ is linear

Published on 27 Mar 2026 - 11:48

75

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Complete subset of $X$ such that elements are of a fixed norm value implies $X$ Banach

Published on 26 Mar 2026 - 6:29

123

Views

Sub-multiplicativity of the norm of Hadamard product?

Published on 06 Sep 2019 - 7:26

119

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Norm of an integral operator in $L_2[0,1]$

Published on 31 Mar 2026 - 17:50

64

Views

Are the norms $\sum_{n\in\mathbb{Z}}(1+n^{2s})|\hat u_n|^2$ and $\sum_{n\in\mathbb{Z}}(1+n^2)^s|\hat u_n|^2$ equivalent?

Published on 25 Mar 2026 - 3:22

893

Views

Prove that a seminorm is a norm

Published on 06 Sep 2019 - 20:40

69

Views

Set of functions open or/and closed

Published on 06 Sep 2019 - 21:33

980

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A normed linear space is separable if and only if it has a denumerable dense subset.

Published on 08 Sep 2019 - 6:14

626

Views

Weighted sum of absolute values is a norm

Published on 08 Sep 2019 - 13:28

112

Views

Chebyshev Inequality - How is the following inferred ??

Published on 25 Mar 2026 - 7:43

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Bounds on expected absolute difference of ''logistic functions'' like random variable

Show that $C_1(1+||x||^2)^k \leq \sum_{|\alpha| \leq k} x^{2\alpha} \leq C_2 (1+||x||^2)^k$

Norms, Metrics, Measures, and Volume on $\mathbb{R}^n$

Nuclear norm of self-adjoint matrix

Bound absolute value of maximum with function of norms

If $f:V \to W$ is a continuous group homomorphism, then $f$ is linear

Complete subset of $X$ such that elements are of a fixed norm value implies $X$ Banach

Sub-multiplicativity of the norm of Hadamard product?

Norm of an integral operator in $L_2[0,1]$

Are the norms $\sum_{n\in\mathbb{Z}}(1+n^{2s})|\hat u_n|^2$ and $\sum_{n\in\mathbb{Z}}(1+n^2)^s|\hat u_n|^2$ equivalent?

Prove that a seminorm is a norm

Set of functions open or/and closed

A normed linear space is separable if and only if it has a denumerable dense subset.

Weighted sum of absolute values is a norm

Chebyshev Inequality - How is the following inferred ??

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