List questions from hilbert-spaces

Published on 14 Apr 2026 - 12:51

25

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Determine if the following subspace is dense

Published on 12 Apr 2026 - 10:18

49

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$\|A\|^2=\|A^* A\|$ for linear bounded operators on hilbert space?

Published on 12 Apr 2026 - 1:37

306

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Reproducing kernel Hilbert space induced by $k(x, y) = \delta_{x, y}$, where $\delta$ is the Kronecker delta

Published on 25 Mar 2026 - 9:50

46

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Derive an explicit expression for $P_e=P(\psi_1|\psi_2)P(\psi_1)+P(\psi_2|\psi_1)P(\psi_2)$

Published on 16 Apr 2026 - 23:16

73

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A question about norm of an operator

Published on 09 Apr 2026 - 6:20

55

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Set of uniqueness of a harmonic series

Published on 14 Apr 2026 - 1:48

43

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normal operator where the sum of eigenspaces is not equal to the entire Hilbert space.

Published on 25 Mar 2026 - 22:03

82

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Range of the sum of linear operators with dense range

Published on 13 Apr 2026 - 12:01

94

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Show a function is in $L^2(\mathbb{R})$

Published on 14 Apr 2026 - 11:26

43

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Resolvent set of perturbed operator

Published on 09 Apr 2026 - 14:31

57

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What are the limitations of Hilbert Curves?

Published on 11 Apr 2026 - 10:22

16

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Is the Schmidt rank finite for finite ranked operators in infinite dimensional Hilbert spaces

Published on 15 Apr 2026 - 14:08

37

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If $T\in B(H)$ and let $U,V\in B(H)$ be two isomtries such that $TT^=UU^$ and $T^T=VV^$. Is it true that $T=USV^*$ for some unitary S?

Published on 13 Apr 2026 - 20:01

77

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Perturbation of a maximal dissipative operator by a non-negative self-adjoint operator.

Published on 09 Apr 2026 - 21:30

List Question

Spectrum of a convolution operator on $L^2(\mathbb{R})$

Determine if the following subspace is dense

$\|A\|^2=\|A^* A\|$ for linear bounded operators on hilbert space?

Reproducing kernel Hilbert space induced by $k(x, y) = \delta_{x, y}$, where $\delta$ is the Kronecker delta

Derive an explicit expression for $P_e=P(\psi_1|\psi_2)P(\psi_1)+P(\psi_2|\psi_1)P(\psi_2)$

A question about norm of an operator

Set of uniqueness of a harmonic series

normal operator where the sum of eigenspaces is not equal to the entire Hilbert space.

Range of the sum of linear operators with dense range

Show a function is in $L^2(\mathbb{R})$

Resolvent set of perturbed operator

What are the limitations of Hilbert Curves?

Is the Schmidt rank finite for finite ranked operators in infinite dimensional Hilbert spaces

If $T\in B(H)$ and let $U,V\in B(H)$ be two isomtries such that $TT^=UU^$ and $T^T=VV^$. Is it true that $T=USV^*$ for some unitary S?

Perturbation of a maximal dissipative operator by a non-negative self-adjoint operator.

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