List questions from normed-spaces

Published on 11 Apr 2026 - 23:31

45

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Simple property of linear bounded maps

Published on 15 Apr 2026 - 11:21

111

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does sorting minimize distance?

Published on 11 Apr 2026 - 15:20

133

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Linearly independent set of vectors in a normed space

Published on 11 Apr 2026 - 7:39

127

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Application of Hahn Banach Separation theorem, showing inclusion of ball

Published on 14 Apr 2026 - 3:46

1.5k

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Equivalent norm induces equivalent metric

Published on 15 Apr 2026 - 2:07

144

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Definitions of norm of operators

Published on 09 Apr 2026 - 15:14

1.7k

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Two metric space with same Cauchy sequences

Published on 12 Apr 2026 - 18:48

48

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A Normed Vector Space Whose Dual Space Has No Uniformly Bounded Bases

Published on 15 Apr 2026 - 15:29

59

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Linear maps in Hilbertspaces

Published on 11 Apr 2026 - 14:31

106

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Why is $\max \{ | a_{i,j}| : 1 \le i \le m, 1 \le j \le n \} \le \sup \{||Ax|| : ||x|| = 1\}$?

Published on 16 Apr 2026 - 22:12

34

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If $\lim\limits_{i\to +\infty}\|x_i^1e_1+\dots+x_i^ne_n\|=0$ then $\lim\limits_{i\to +\infty}x_i^j=0,\forall j=1,\dots,n$?

Published on 16 Apr 2026 - 14:23

280

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Closed sets and subtraction of elements.

Published on 16 Apr 2026 - 12:22

1.3k

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finding lower bound with given facts (relative error and relative residual)

Published on 11 Apr 2026 - 16:17

353

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Show that evaluation is continuous on $C[0,1]$

Published on 15 Apr 2026 - 2:14

List Question

Given Trace of powers of A, how to find its determinant

Simple property of linear bounded maps

does sorting minimize distance?

Linearly independent set of vectors in a normed space

Application of Hahn Banach Separation theorem, showing inclusion of ball

Equivalent norm induces equivalent metric

Definitions of norm of operators

Two metric space with same Cauchy sequences

A Normed Vector Space Whose Dual Space Has No Uniformly Bounded Bases

Linear maps in Hilbertspaces

Why is $\max \{ | a_{i,j}| : 1 \le i \le m, 1 \le j \le n \} \le \sup \{||Ax|| : ||x|| = 1\}$?

If $\lim\limits_{i\to +\infty}\|x_i^1e_1+\dots+x_i^ne_n\|=0$ then $\lim\limits_{i\to +\infty}x_i^j=0,\forall j=1,\dots,n$?

Closed sets and subtraction of elements.

finding lower bound with given facts (relative error and relative residual)

Show that evaluation is continuous on $C[0,1]$

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