List questions from hilbert-spaces

Published on 18 Feb 2018 - 9:16

64

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If $\Re e\langle Ax,y\rangle \leq M$, why $|\langle Ax,y\rangle| \leq M$?

Published on 18 Feb 2018 - 11:39

35

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Prove that $A^n$ converges to the null operator $A \in \mathcal B(H)$, $||A||<1$

Published on 18 Feb 2018 - 22:31

558

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norm of a function in Hilbert space

Published on 19 Feb 2018 - 9:02

89

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Norm of $\phi(f) = \int_{\frac{1}{4}}^{\frac{3}{4}}3\sqrt 2 f d\mu $

Published on 19 Feb 2018 - 9:30

44

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Then the maximal possible number of elements in $E?$

Published on 22 Mar 2026 - 21:02

525

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Does every (non-separable) Hilbert space have the approximation property?

Published on 25 Mar 2026 - 9:04

56

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Schwartz inequality for $|\int_{0}^\infty \frac{x^{3/2}}{1+ix}e^{-x} dx|$

Published on 23 Mar 2026 - 2:08

1.5k

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What's the relation between the trace and the range of a projector?

Published on 20 Feb 2018 - 12:04

30

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If $V \subset H$ is dense, then $\Lambda V = \Lambda H$.

Published on 25 Mar 2026 - 8:27

151

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Numerical radius of the absolute value of an operator

Published on 25 Mar 2026 - 6:11

73

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$T(M^\perp)\subseteq M^\perp \Longleftrightarrow T^*(M)\subseteq M?$

Published on 21 Feb 2018 - 15:31

11.4k

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L2-Norm of Gradient?

Published on 22 Feb 2018 - 14:41

54

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Reparametrization of the spherical harmonics so they will be complete in a different region.

Published on 22 Mar 2026 - 22:20

54

Views

Why the following inequality holds?

Published on 22 Mar 2026 - 1:41

List Question

$\int_0^\infty f(t)^2 x(t)^2 dt \le \int^1_0 f(t)^2 dt?$

If $\Re e\langle Ax,y\rangle \leq M$, why $|\langle Ax,y\rangle| \leq M$?

Prove that $A^n$ converges to the null operator $A \in \mathcal B(H)$, $||A||<1$

norm of a function in Hilbert space

Norm of $\phi(f) = \int_{\frac{1}{4}}^{\frac{3}{4}}3\sqrt 2 f d\mu $

Then the maximal possible number of elements in $E?$

Does every (non-separable) Hilbert space have the approximation property?

Schwartz inequality for $|\int_{0}^\infty \frac{x^{3/2}}{1+ix}e^{-x} dx|$

What's the relation between the trace and the range of a projector?

If $V \subset H$ is dense, then $\Lambda V = \Lambda H$.

Numerical radius of the absolute value of an operator

$T(M^\perp)\subseteq M^\perp \Longleftrightarrow T^*(M)\subseteq M?$

L2-Norm of Gradient?

Reparametrization of the spherical harmonics so they will be complete in a different region.

Why the following inequality holds?

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