List questions from operator-theory

Published on 25 Mar 2026 - 11:10

1.2k

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$T: L^2[0,1] \to L^2[0,1]$, $Tf(x)= \frac{1}{x}\int_{0}^x f(y)$, is a bounded but not compact operator.

Published on 25 Mar 2026 - 12:49

51

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$i d/dx$ is symmetric on the domain

Published on 16 Sep 2018 - 14:59

866

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Minimal Polynomial of null operator

Published on 19 Sep 2018 - 2:14

114

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multiplication of Hilbert Schmidt operators

Published on 26 Mar 2026 - 1:26

140

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Are the poles of the resolvent of a Hermitian operator real?

Published on 20 Sep 2018 - 21:32

307

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How to make sense of operators' inverse and the derivative of operators themselves?

Published on 26 Mar 2026 - 21:32

31

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Constructing a product of commuting operators with certain properties

Published on 22 Sep 2018 - 14:02

65

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Adjoint of T $\in B(\ell^{2})$

Published on 26 Mar 2026 - 6:05

54

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Operator norm of $T: L^{p}(0,\infty) \rightarrow L^{p}(0,\infty)$

Published on 22 Sep 2018 - 21:04

49

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construct a closed subspace of $\mathcal{HS}(H)$ such that all elements in the subspace are commutative.

Published on 25 Mar 2026 - 23:38

55

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the commutant of $\mathcal{HS(H)}$

Published on 25 Mar 2026 - 23:38

555

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A property of the convolution of operator

Published on 25 Mar 2026 - 14:22

110

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Trace of $x\otimes y\tilde\otimes x\otimes y$

Published on 26 Mar 2026 - 16:06

121

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Please check my proof of a bounded linear operator and to show it a finite rank operator

Published on 25 Mar 2026 - 11:15

List Question

Finding the eigenfunctions of an operator with multiple derivatives

$T: L^2[0,1] \to L^2[0,1]$, $Tf(x)= \frac{1}{x}\int_{0}^x f(y)$, is a bounded but not compact operator.

$i d/dx$ is symmetric on the domain

Minimal Polynomial of null operator

multiplication of Hilbert Schmidt operators

Are the poles of the resolvent of a Hermitian operator real?

How to make sense of operators' inverse and the derivative of operators themselves?

Constructing a product of commuting operators with certain properties

Adjoint of T $\in B(\ell^{2})$

Operator norm of $T: L^{p}(0,\infty) \rightarrow L^{p}(0,\infty)$

construct a closed subspace of $\mathcal{HS}(H)$ such that all elements in the subspace are commutative.

the commutant of $\mathcal{HS(H)}$

A property of the convolution of operator

Trace of $x\otimes y\tilde\otimes x\otimes y$

Please check my proof of a bounded linear operator and to show it a finite rank operator

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