List questions from normed-spaces

Published on 21 Apr 2019 - 20:34

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Infinity norm is actually a norm : triangle inequality

Published on 22 Apr 2019 - 8:49

48

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For $g(x) = \int_0^\infty (x+y)^{-1} f(y) \, dy$ show $|g'(x)| \le c_p \frac{1}{|x|^{1+1/p}} \lVert f \rVert_{L^p}$

Published on 22 Apr 2019 - 14:48

689

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"Norm of norms" is another norm?

Published on 23 Apr 2019 - 17:05

45

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Prove convexity of the given function on $\mathbb{R}^n$

Published on 23 Apr 2019 - 20:47

85

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How to prove the following norm inequality

Published on 31 Mar 2026 - 5:48

157

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Is this space equivalent to the James space?

Published on 29 Mar 2026 - 4:09

334

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p-norm and the sup norm

Published on 25 Apr 2019 - 5:27

83

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Integral and norm

Published on 25 Apr 2019 - 15:06

36

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Norm from $\overline{\Bbb Q}^* \to {\Bbb Q}*$

Published on 26 Apr 2019 - 13:35

53

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Is it possible that $\forall y \in X \quad \|y-b\| < \max(\|y-a\|, \|y+a\|) $?

Published on 27 Apr 2019 - 23:41

1.1k

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Questions about deriving the dual space of $l^{1}$

Published on 26 Mar 2026 - 1:10

105

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space equipped with quasinorm

Published on 28 Apr 2019 - 17:27

38

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The definition and norm of $(\mathbb{R}^*)^2$

Published on 25 Mar 2026 - 22:03

80

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Help with a specific norm and convex space.

Published on 30 Apr 2019 - 7:05

List Question

Is the norm of a vector given by dividing it by the square root of the inner product with itself?

Infinity norm is actually a norm : triangle inequality

For $g(x) = \int_0^\infty (x+y)^{-1} f(y) \, dy$ show $|g'(x)| \le c_p \frac{1}{|x|^{1+1/p}} \lVert f \rVert_{L^p}$

"Norm of norms" is another norm?

Prove convexity of the given function on $\mathbb{R}^n$

How to prove the following norm inequality

Is this space equivalent to the James space?

p-norm and the sup norm

Integral and norm

Norm from $\overline{\Bbb Q}^* \to {\Bbb Q}*$

Is it possible that $\forall y \in X \quad \|y-b\| < \max(\|y-a\|, \|y+a\|) $?

Questions about deriving the dual space of $l^{1}$

space equipped with quasinorm

The definition and norm of $(\mathbb{R}^*)^2$

Help with a specific norm and convex space.

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