List questions from self-adjoint-operators

Published on 18 Jan 2022 - 12:14

706

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On the commutation of two self-adjoint operators

Published on 20 Jan 2022 - 17:06

132

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For self adjoint matrix $A$, $\exists B,C$ such that $A=B-C$ with $BC=0$ where $B,C$,

Published on 24 Jan 2022 - 9:20

51

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Proof is self-adjoint

Published on 02 Feb 2022 - 0:29

361

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Using the Fredholm alternative to find a solvabilty condition for a PDE

Published on 06 Feb 2022 - 7:28

128

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Why is the maximal domain $D_\text{max}$ of a Sturm-Liouville operator defined the way it is?

Published on 24 Feb 2026 - 13:14

188

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Problem on a rank 1 perturbation of an self-adjoint operator

Published on 13 Feb 2022 - 3:11

59

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Question about Anderson Localization and a specific theorem (RAGE)

Published on 15 Feb 2022 - 3:59

92

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Self-adjoint operators on a Hilbert space

Published on 15 Feb 2022 - 13:15

62

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Nth root of positive semidefinite operator over a Hilbert space.

Published on 17 Feb 2022 - 15:11

50

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How is a self-adjoint operator (hyper-)maximal?

Published on 20 Feb 2022 - 0:41

60

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If $\{\varphi_n\}$ is an eigenbasis of $K^\ast K$'s support and $h\perp K^m\varphi_n$ for all $n,m\ge1$, then how do you show $Kh=0$?

Published on 20 Feb 2022 - 13:11

67

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Find a self-adjoint operator with $[0, 1] \subseteq \sigma_{sing} (A)$.

Published on 25 Feb 2022 - 22:37

387

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$TT^* = T^*T$ iff $T = A + iB$ with $A, B$ self-adjoint

Published on 26 Feb 2022 - 23:01

58

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Discrete spectrum for product of operators

Published on 01 Mar 2022 - 14:50

List Question

Representation theorems for quadratic forms on real Hilbert spaces (For proving self-adjointness)

On the commutation of two self-adjoint operators

For self adjoint matrix $A$, $\exists B,C$ such that $A=B-C$ with $BC=0$ where $B,C$,

Proof is self-adjoint

Using the Fredholm alternative to find a solvabilty condition for a PDE

Why is the maximal domain $D_\text{max}$ of a Sturm-Liouville operator defined the way it is?

Problem on a rank 1 perturbation of an self-adjoint operator

Question about Anderson Localization and a specific theorem (RAGE)

Self-adjoint operators on a Hilbert space

Nth root of positive semidefinite operator over a Hilbert space.

How is a self-adjoint operator (hyper-)maximal?

If $\{\varphi_n\}$ is an eigenbasis of $K^\ast K$'s support and $h\perp K^m\varphi_n$ for all $n,m\ge1$, then how do you show $Kh=0$?

Find a self-adjoint operator with $[0, 1] \subseteq \sigma_{sing} (A)$.

$TT^* = T^*T$ iff $T = A + iB$ with $A, B$ self-adjoint

Discrete spectrum for product of operators

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