List questions from normed-spaces

Published on 01 Apr 2026 - 2:15

118

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Show that $g(x)=x + f(x)$ is surjective

Published on 17 Jun 2019 - 22:35

107

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Norm-preserving implicit numerical method

Published on 18 Jun 2019 - 6:56

23

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$\|A\|_2 \le \|b\|_2 \Rightarrow |b^TAb| \le \|b\|_2^3$

Published on 25 Mar 2026 - 3:00

47

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If $\|a-b\| < \|b\|$ what follows for $\|a\|$?

Published on 19 Jun 2019 - 18:09

140

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Derivative of squared Frobenius norm of a matrix with transpose

Published on 20 Jun 2019 - 9:04

195

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the canonical projection from a normed space to its quotient space is an open mapping

Published on 26 Mar 2026 - 4:34

1k

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Reference on Sobolev-Slobodeckij spaces

Published on 25 Mar 2026 - 2:57

57

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Given $\boldsymbol{x} = \boldsymbol{y } \boldsymbol{A}$ with $ | \boldsymbol{x}|_{\infty} \le c $ , find a bound on $|\boldsymbol{y} | _{\infty}$

Published on 30 Mar 2026 - 8:33

36

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Show $ ||A|| \le \gamma \iff \gamma^2I_q - A^HA \ge 0 \iff \gamma^2I_p - AA^H \ge 0$

Published on 26 Mar 2026 - 2:57

133

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Norms on $\mathbb{R}^2$ that send integer lattice points on integer

Published on 28 Mar 2026 - 13:59

31

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If $b^\cdot a=1$, then $\|a.b^\|=?$

Published on 22 Jun 2019 - 14:53

243

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How to prove that is a Banach space

Published on 29 Mar 2026 - 14:02

299

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Open set minus closed set with empty interior

Published on 25 Mar 2026 - 5:11

144

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$\|A\|_\infty = \sup_{x\neq 0} \frac{\|Ax\|_\infty}{\|x\|_\infty}=\|A\operatorname{1}\|_\infty$

Published on 23 Jun 2019 - 19:13

List Question

A question on smooth spaces

Show that $g(x)=x + f(x)$ is surjective

Norm-preserving implicit numerical method

$\|A\|_2 \le \|b\|_2 \Rightarrow |b^TAb| \le \|b\|_2^3$

If $\|a-b\| < \|b\|$ what follows for $\|a\|$?

Derivative of squared Frobenius norm of a matrix with transpose

the canonical projection from a normed space to its quotient space is an open mapping

Reference on Sobolev-Slobodeckij spaces

Given $\boldsymbol{x} = \boldsymbol{y } \boldsymbol{A}$ with $ | \boldsymbol{x}|_{\infty} \le c $ , find a bound on $|\boldsymbol{y} | _{\infty}$

Show $ ||A|| \le \gamma \iff \gamma^2I_q - A^HA \ge 0 \iff \gamma^2I_p - AA^H \ge 0$

Norms on $\mathbb{R}^2$ that send integer lattice points on integer

If $b^\cdot a=1$, then $\|a.b^\|=?$

How to prove that is a Banach space

Open set minus closed set with empty interior

$\|A\|_\infty = \sup_{x\neq 0} \frac{\|Ax\|_\infty}{\|x\|_\infty}=\|A\operatorname{1}\|_\infty$

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