List questions from normed-spaces

Published on 11 May 2018 - 19:15

27

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Why does $\|(-1/\lambda \cdot m)-x_0\|\ge r$ hold when $\|m-x_0\|\ge r $ holds?

Published on 11 May 2018 - 21:31

311

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How to show a diagram commutes?

Published on 27 Mar 2026 - 5:38

58

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Why is the linear functional $f$ bounded with $\|f\| \le 1/r $?

Published on 12 May 2018 - 10:16

358

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$E$ and $F$ Banach Spaces, $T:E\to F$ such that $\text{Im }T$ is closed. Then $\text{Im } T^{\ast }=\text{ann }\left ( \ker T \right )$

Published on 26 Mar 2026 - 3:13

47

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If $E$ is a Banach space and $S\subset E^{\ast}$ is $w^{\ast}$-closed, then $S=\text{ann }(S_0)$ for some $S_0\subset E$

Published on 26 Mar 2026 - 4:53

51

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How can we get an equality for the norm?

Published on 12 May 2018 - 23:00

210

Views

Metric induced by norm (cartesian product)

Published on 13 May 2018 - 10:32

239

Views

Norm on Sobolev Space $H_0^1$

Published on 27 Mar 2026 - 4:15

36

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Does $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in M$ imply $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in cl(M)$?

Published on 13 May 2018 - 20:51

463

Views

Implement QCQP in CVXOPT

Published on 25 Mar 2026 - 1:15

225

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A polynomial map between Banach spaces is Fréchet differentiable

Published on 25 Mar 2026 - 6:51

240

Views

If over the complex numbers it is Banach, then so it is over the reals.

Published on 25 Mar 2026 - 10:57

106

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Linear function in normed vector space (Folland, Real Analysis Exercise)

Published on 14 May 2018 - 17:00

44

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A formula for the isomorphism $\ell^1\to c^*$

Published on 26 Mar 2026 - 6:34

List Question

Triebel-Lizorkin space $F_{p,q}^s(\mathbb{R}^d)$, $p=\infty$

Why does $\|(-1/\lambda \cdot m)-x_0\|\ge r$ hold when $\|m-x_0\|\ge r $ holds?

How to show a diagram commutes?

Why is the linear functional $f$ bounded with $\|f\| \le 1/r $?

$E$ and $F$ Banach Spaces, $T:E\to F$ such that $\text{Im }T$ is closed. Then $\text{Im } T^{\ast }=\text{ann }\left ( \ker T \right )$

If $E$ is a Banach space and $S\subset E^{\ast}$ is $w^{\ast}$-closed, then $S=\text{ann }(S_0)$ for some $S_0\subset E$

How can we get an equality for the norm?

Metric induced by norm (cartesian product)

Norm on Sobolev Space $H_0^1$

Does $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in M$ imply $\sup|f(x)-f_0(x)|>\delta$ $\forall f \in cl(M)$?

Implement QCQP in CVXOPT

A polynomial map between Banach spaces is Fréchet differentiable

If over the complex numbers it is Banach, then so it is over the reals.

Linear function in normed vector space (Folland, Real Analysis Exercise)

A formula for the isomorphism $\ell^1\to c^*$

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