List questions from normed-spaces

Published on 20 Jan 2019 - 17:21

370

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$\Bbb R^d$ with norm is a Banach

Published on 28 Mar 2026 - 7:58

33

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Exist a norm such that $S= \{x= (x_{1},x_{2}) \in R^{2}| \|x\| \leq 1, x_{2} >0\}$ which isn't open nor closed?

Published on 20 Jan 2019 - 18:23

959

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Proving subadditivity of max norm for matrices

Published on 20 Jan 2019 - 19:03

331

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A sequence of bounded $C^1$ functions whose derivatives are unbounded.

Published on 28 Mar 2026 - 7:58

91

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Is standard deviation defined for Hamming norm

Published on 27 Mar 2026 - 1:13

53

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Operator in the presence of noise

Published on 21 Jan 2019 - 17:40

100

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Does $|f^\prime|<1$ imply that $\forall_{x,y}|f(x)-f(y)|<|x-y|$?

Published on 21 Jan 2019 - 19:04

31

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p norm of a matrix

Published on 21 Jan 2019 - 23:35

65

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Operator norm $||A||=\sup_{x \neq 0} \frac{||A(x)||}{||x||}$

Published on 22 Jan 2019 - 0:18

59

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Norm and compactness of the Operator $(Tu)(x)=\alpha(x)u'(x), u\in Y, x\in I$

Published on 25 Mar 2026 - 19:06

101

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Non-constant function with 0 Lipschitz semi-norm

Published on 25 Mar 2026 - 21:00

371

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Show that $A:\ell^2(\mathbb N)\to\ell^2(\mathbb N)$ where $A(e_n)=\lambda_ne_n$ is bounded.

Published on 28 Mar 2026 - 23:57

380

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Representation of linear operator between $L^p$ spaces.

Published on 28 Mar 2026 - 7:51

339

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Inequality of norms

Published on 23 Jan 2019 - 18:37

List Question

Closure of ball in normed space

$\Bbb R^d$ with norm is a Banach

Exist a norm such that $S= \{x= (x_{1},x_{2}) \in R^{2}| \|x\| \leq 1, x_{2} >0\}$ which isn't open nor closed?

Proving subadditivity of max norm for matrices

A sequence of bounded $C^1$ functions whose derivatives are unbounded.

Is standard deviation defined for Hamming norm

Operator in the presence of noise

Does $|f^\prime|<1$ imply that $\forall_{x,y}|f(x)-f(y)|<|x-y|$?

p norm of a matrix

Operator norm $||A||=\sup_{x \neq 0} \frac{||A(x)||}{||x||}$

Norm and compactness of the Operator $(Tu)(x)=\alpha(x)u'(x), u\in Y, x\in I$

Non-constant function with 0 Lipschitz semi-norm

Show that $A:\ell^2(\mathbb N)\to\ell^2(\mathbb N)$ where $A(e_n)=\lambda_ne_n$ is bounded.

Representation of linear operator between $L^p$ spaces.

Inequality of norms

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