List questions from operator-theory

Published on 09 Apr 2018 - 13:48

110

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How to get the spectrum of an element of $\mathbb{C}^{2}$?

Published on 25 Mar 2026 - 5:07

17k

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If H is Hermitian, show that $e^{iH}$ is unitary

Published on 25 Mar 2026 - 14:12

114

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$C^*$-subalgebra of $M_2(\mathbb{C})$

Published on 25 Mar 2026 - 5:06

158

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Banach algebra of $C^{1}([0,1])$

Published on 27 Mar 2026 - 5:02

437

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If an operator has a discrete spectrum eigenvalues, but infinitely many eigenvalues, are these necessarily countable?

Published on 25 Mar 2026 - 6:00

197

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If $A \otimes B$ is nuclear , then is $B$ nuclear?

Published on 25 Mar 2026 - 5:06

184

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Domains of higher powers of two unbounded self-adjoint operators

Published on 25 Mar 2026 - 22:04

244

Views

A proof of a property of positive element in $C^{*}$-algebra.

Published on 25 Mar 2026 - 5:07

793

Views

Hilbert-Schmidt operator gives the same infinite sum acting on any Hilbert basis

Published on 25 Mar 2026 - 8:07

484

Views

Holders inequality for Hilbert Schmidt operators which are also trace class

Published on 24 Mar 2026 - 22:11

1k

Views

Coordinate free proof that $\operatorname{trace}(A)=0\:\Longrightarrow\:A=BC-CB$

Published on 25 Mar 2026 - 11:03

1k

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Fourier transform of a linear operator

Published on 25 Mar 2026 - 16:06

1.5k

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Schur's test : an infinite matrix defines a bounded operator on $\ell^2$

Published on 13 Apr 2018 - 10:14

347

Views

When a multiplication operator $M_\phi$ satisfies in ${M_\phi}^{2}=M_\phi$?

Published on 25 Mar 2026 - 12:16

List Question

Spectral radius of a pair of operators which commute

How to get the spectrum of an element of $\mathbb{C}^{2}$?

If H is Hermitian, show that $e^{iH}$ is unitary

$C^*$-subalgebra of $M_2(\mathbb{C})$

Banach algebra of $C^{1}([0,1])$

If an operator has a discrete spectrum eigenvalues, but infinitely many eigenvalues, are these necessarily countable?

If $A \otimes B$ is nuclear , then is $B$ nuclear?

Domains of higher powers of two unbounded self-adjoint operators

A proof of a property of positive element in $C^{*}$-algebra.

Hilbert-Schmidt operator gives the same infinite sum acting on any Hilbert basis

Holders inequality for Hilbert Schmidt operators which are also trace class

Coordinate free proof that $\operatorname{trace}(A)=0\:\Longrightarrow\:A=BC-CB$

Fourier transform of a linear operator

Schur's test : an infinite matrix defines a bounded operator on $\ell^2$

When a multiplication operator $M_\phi$ satisfies in ${M_\phi}^{2}=M_\phi$?

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