List questions from normed-spaces

Published on 30 Mar 2026 - 12:18

37

Views

Why does $\mathrm{exp}(i\mathbb R)$ produce the unit sphere of the 2-Norm?

Published on 08 Apr 2026 - 13:15

44

Views

Proof regarding operator norm.

Published on 08 Apr 2026 - 22:50

2.2k

Views

Is weak convergence "limit" unique?

Published on 08 Apr 2026 - 22:33

28

Views

Equivalence of statements regarding operator norm.

Published on 09 Apr 2026 - 5:32

24

Views

Proving a result on Spectral Radius - proof verification

Published on 30 Apr 2020 - 19:43

62

Views

Bounding 2-norm of matrix by spectral radius

Published on 30 Apr 2020 - 22:18

198

Views

Is the space $C([0, 1])$ with the $L^1$ metric completely metrizable? (or is $C([0,1])$ a $G_\delta$ in $L^1([0, 1])$?)

Published on 01 May 2020 - 10:29

214

Views

Supremum Norm Identity

Published on 11 Apr 2026 - 8:53

306

Views

$L^{2}$ norm and expected value.

Published on 11 Apr 2026 - 11:11

133

Views

Expected norm $1$ of inner product

Published on 11 Apr 2026 - 2:44

85

Views

Showing that $\|I-\epsilon MK\|_2 < 1$ for some $\epsilon$

Published on 02 May 2020 - 1:23

618

Views

Differentiation of $l^p(\mathbb{N})$ norm

Published on 25 Mar 2026 - 19:59

75

Views

Definitions of operator norm and operators that don't obtain its norm on the set $\{ v \in V:\|v\| \leq1\}$

Published on 10 Apr 2026 - 22:31

301

Views

Is norm or seminorm countably additive?

Published on 10 Apr 2026 - 11:32

List Question

distance function between point and compact set

Why does $\mathrm{exp}(i\mathbb R)$ produce the unit sphere of the 2-Norm?

Proof regarding operator norm.

Is weak convergence "limit" unique?

Equivalence of statements regarding operator norm.

Proving a result on Spectral Radius - proof verification

Bounding 2-norm of matrix by spectral radius

Is the space $C([0, 1])$ with the $L^1$ metric completely metrizable? (or is $C([0,1])$ a $G_\delta$ in $L^1([0, 1])$?)

Supremum Norm Identity

$L^{2}$ norm and expected value.

Expected norm $1$ of inner product

Showing that $\|I-\epsilon MK\|_2 < 1$ for some $\epsilon$

Differentiation of $l^p(\mathbb{N})$ norm

Definitions of operator norm and operators that don't obtain its norm on the set $\{ v \in V:\|v\| \leq1\}$

Is norm or seminorm countably additive?

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