List questions from normed-spaces

Published on 18 Apr 2018 - 16:50

104

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Understanding the Fourier transform

Published on 25 Mar 2026 - 19:01

176

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norm on the space of square integrable differential 1-forms

Published on 25 Mar 2026 - 3:00

28

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Equivalence norms property

Published on 19 Apr 2018 - 8:12

85

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show that $\inf\{1-\|\frac 12(x+y)\|: x,y\in S_X,\|x-y\|=\epsilon\}=\inf\{1-\|\frac 12(x+y)\|: x,y\in B_X,\|x-y\|=\epsilon\}$

Published on 19 Apr 2018 - 12:41

156

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The spectral radius is a norm

Published on 25 Mar 2026 - 12:20

133

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Is there an inequality that $\|a+b\|^2 \le \|a\|^2 + \|b\|^2$?

Published on 19 Apr 2018 - 13:55

178

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Prove submultiplicativity property for this matrix norm

Published on 19 Apr 2018 - 16:57

279

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What is geometric representation of third norm?

Published on 25 Mar 2026 - 4:57

52

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Minima of a sum of matrix norms $||T^{-1}AT||_F + ||T^{-1}BT||_F$

Published on 25 Mar 2026 - 9:29

86

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NN - norm notation

Published on 20 Apr 2018 - 8:14

185

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If the kernel of a seminorm $p$ is closed, is $p$ then continuous?

Published on 20 Apr 2018 - 10:41

75

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Show that the seminorm $|\cdot|_p$ satisfies the second norm axiom, a question about $(\cdot)^p$ and $(\cdot)^{1/p}$, when $p = \infty$

Published on 25 Mar 2026 - 4:42

62

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Under what kind of conditions we have an inequality like $\|abc...\| \le \|a\|\|b\|\|c\|...$?

Published on 20 Apr 2018 - 12:52

36

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Show that if $A$ is a bounded linear operator on a Hilbert space then $||Ax||^2 \le ||A||\langle Ax,x\rangle$

Published on 20 Apr 2018 - 17:21

List Question

$L_p([a,b])$ is the completion of $C[a,b]$: reference

Understanding the Fourier transform

norm on the space of square integrable differential 1-forms

Equivalence norms property

show that $\inf\{1-\|\frac 12(x+y)\|: x,y\in S_X,\|x-y\|=\epsilon\}=\inf\{1-\|\frac 12(x+y)\|: x,y\in B_X,\|x-y\|=\epsilon\}$

The spectral radius is a norm

Is there an inequality that $\|a+b\|^2 \le \|a\|^2 + \|b\|^2$?

Prove submultiplicativity property for this matrix norm

What is geometric representation of third norm?

Minima of a sum of matrix norms $||T^{-1}AT||_F + ||T^{-1}BT||_F$

NN - norm notation

If the kernel of a seminorm $p$ is closed, is $p$ then continuous?

Show that the seminorm $|\cdot|_p$ satisfies the second norm axiom, a question about $(\cdot)^p$ and $(\cdot)^{1/p}$, when $p = \infty$

Under what kind of conditions we have an inequality like $\|abc...\| \le \|a\|\|b\|\|c\|...$?

Show that if $A$ is a bounded linear operator on a Hilbert space then $||Ax||^2 \le ||A||\langle Ax,x\rangle$

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