List questions from normed-spaces

Published on 12 Aug 2018 - 4:54

59

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Perimeter of the circle on a complex vector space

Published on 12 Aug 2018 - 10:30

78

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$\lim_{n \to \infty}\left(\int_{a}^{b}\phi^{2n}\mathrm{d} \alpha \right)^{\frac{1}{2}} = \sup_{a \leq x \leq b} \phi^{2}(x)$

Published on 13 Aug 2018 - 4:01

224

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Maximum column sum of stochastic matrix

Published on 25 Mar 2026 - 23:01

175

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Edit: Show that $f$ is differentiable on $\Bbb{R}^n$ and compute $f'$

Published on 13 Aug 2018 - 16:18

161

Views

Proximal Operator / Mapping of Multiplication of Two Matrices

Published on 26 Mar 2026 - 5:35

273

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Every proper subspace of a normed linear space is either dense or nowhere dense.

Published on 14 Aug 2018 - 7:26

123

Views

Existence of $x\in \mathcal{X}$ such that $\|x\|=1$ and $\|x+\mathcal{M}\|=1$ for a closed subspace $\mathcal{M}$

Published on 25 Mar 2026 - 9:50

92

Views

Problem regarding convergency: $\sum_{k=0}^{\infty}\frac{x^k}{k!} \to e^x$

Published on 15 Aug 2018 - 8:23

99

Views

Prove that $\Phi$ is differentiable on $E$ and find $\Phi'(x)$

Published on 15 Aug 2018 - 14:52

248

Views

Is translation of a closed set by a compact set is closed?

Published on 15 Aug 2018 - 17:08

88

Views

Matrix calculus with complex

Published on 26 Mar 2026 - 2:52

76

Views

Properties of $\{x\in X\mid f(x)=||f||\}$

Published on 25 Mar 2026 - 9:50

245

Views

$\|x+\mathcal{M}\|=0 \iff x\in \mathcal{M}$.

Published on 25 Mar 2026 - 9:48

722

Views

Proving $\mid \parallel x \parallel - \parallel y \parallel \mid$ $\leqq$ $\parallel x-y \parallel$?

Published on 17 Aug 2018 - 6:44

List Question

$\Vert x\Vert$ in terms of bounded linear functional $f$.

Perimeter of the circle on a complex vector space

$\lim_{n \to \infty}\left(\int_{a}^{b}\phi^{2n}\mathrm{d} \alpha \right)^{\frac{1}{2}} = \sup_{a \leq x \leq b} \phi^{2}(x)$

Maximum column sum of stochastic matrix

Edit: Show that $f$ is differentiable on $\Bbb{R}^n$ and compute $f'$

Proximal Operator / Mapping of Multiplication of Two Matrices

Every proper subspace of a normed linear space is either dense or nowhere dense.

Existence of $x\in \mathcal{X}$ such that $\|x\|=1$ and $\|x+\mathcal{M}\|=1$ for a closed subspace $\mathcal{M}$

Problem regarding convergency: $\sum_{k=0}^{\infty}\frac{x^k}{k!} \to e^x$

Prove that $\Phi$ is differentiable on $E$ and find $\Phi'(x)$

Is translation of a closed set by a compact set is closed?

Matrix calculus with complex

Properties of $\{x\in X\mid f(x)=||f||\}$

$\|x+\mathcal{M}\|=0 \iff x\in \mathcal{M}$.

Proving $\mid \parallel x \parallel - \parallel y \parallel \mid$ $\leqq$ $\parallel x-y \parallel$?

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