List questions from self-adjoint-operators

Published on 29 Nov 2020 - 15:06

54

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For $S$ self adjoint, find a polynomial $q$ s.t. $q(S) = \text{arctan}(e^{S})$

Published on 29 Nov 2020 - 22:07

898

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$A$ and $B$ are positive self-adjoint matrix such that $AB$ is self-adjoint then $AB$ is positive

Published on 02 Dec 2020 - 20:50

36

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Proving that a shifted self-adjoint transformation is unitary

Published on 02 Dec 2020 - 23:11

221

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A question on self-adjoint operator on Hilbert space

Published on 03 Dec 2020 - 8:24

99

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Skew-selfadjointness of commutator of self-adjoint unbounded operators

Published on 04 Dec 2020 - 0:36

133

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Adjoint operator of a partial differential operator used to do the carleman estimate

Published on 04 Dec 2020 - 6:59

460

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On the self-adjoint form for the general elliptic PDE

Published on 08 Dec 2020 - 15:54

264

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Self Adjoint Operators

Published on 09 Dec 2020 - 21:29

83

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Is this composition of bounded operators self adjoint?

Published on 12 Dec 2020 - 22:58

114

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Reverse statement of Kato-Rellich Theorem

Published on 13 Dec 2020 - 8:14

72

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Self-Adjointness of sum of $\ell^{2}$ operators using Kato Rellich Theorem

Published on 13 Dec 2020 - 9:11

221

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Can an operator not be self-adjoint even though its representation is?

Published on 13 Dec 2020 - 16:20

96

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Can it be proved using something like functional calculus?

Published on 24 Feb 2026 - 8:29

1.2k

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Showing derivative operator is self-adjoint

Published on 18 Dec 2020 - 8:34

List Question

The definition of a regular operator

For $S$ self adjoint, find a polynomial $q$ s.t. $q(S) = \text{arctan}(e^{S})$

$A$ and $B$ are positive self-adjoint matrix such that $AB$ is self-adjoint then $AB$ is positive

Proving that a shifted self-adjoint transformation is unitary

A question on self-adjoint operator on Hilbert space

Skew-selfadjointness of commutator of self-adjoint unbounded operators

Adjoint operator of a partial differential operator used to do the carleman estimate

On the self-adjoint form for the general elliptic PDE

Self Adjoint Operators

Is this composition of bounded operators self adjoint?

Reverse statement of Kato-Rellich Theorem

Self-Adjointness of sum of $\ell^{2}$ operators using Kato Rellich Theorem

Can an operator not be self-adjoint even though its representation is?

Can it be proved using something like functional calculus?

Showing derivative operator is self-adjoint

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