List questions from hilbert-spaces

Published on 17 Apr 2026 - 11:34

67

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

Published on 14 Apr 2026 - 3:41

38

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

Published on 12 Apr 2026 - 7:52

561

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norm of a function in Hilbert space

Published on 11 Apr 2026 - 5:48

92

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

Published on 17 Apr 2026 - 1:11

47

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

Published on 14 Apr 2026 - 17:35

531

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

Published on 06 May 2026 - 13:47

61

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

Published on 29 Apr 2026 - 12:15

1.5k

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

Published on 12 Apr 2026 - 2:51

38

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

Published on 10 May 2026 - 12:29

154

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Numerical radius of the absolute value of an operator

Published on 10 May 2026 - 15:47

76

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

Published on 17 Apr 2026 - 2:05

11.4k

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L2-Norm of Gradient?

Published on 16 Apr 2026 - 6:25

61

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

Published on 10 May 2026 - 19:43

60

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Why the following inequality holds?

Published on 16 Apr 2026 - 16:45

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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