List questions from spectral-theory

Published on 25 Mar 2026 - 10:36

318

Views

Cheeger constant for $S^2$

Published on 25 Oct 2014 - 17:01

145

Views

How to show $e^{-x}$ is a cyclic vector for $-\frac{d^{2}}{dx^{2}}$ in $L^{2}[0,\infty)$?

Published on 25 Oct 2014 - 21:36

114

Views

Is there a cyclic vector for $-\frac{d^{2}}{dx^{2}}$ on $L^{2}[0,2\pi]$ with periodic conditions?

Published on 25 Oct 2014 - 23:09

448

Views

Measurable functional calculus

Published on 26 Oct 2014 - 1:26

1.1k

Views

Spectral convergence of coefficients of a Fourier series

Published on 29 Oct 2014 - 5:29

143

Views

A question about spectral theorem

Published on 01 Nov 2014 - 16:16

80

Views

A question about spectral measure

Published on 03 Nov 2014 - 15:42

2.5k

Views

How to use the Spectral Theorem to Derive $L^{2}(\mathbb{R})$ Fourier Transform Theory

Published on 05 Nov 2014 - 7:07

594

Views

Spectrum of Self-Adjoint Operators

Published on 05 Nov 2014 - 8:40

1.6k

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Norm of the Resolvent of a Self-Adjoint Operator

Published on 05 Nov 2014 - 10:02

146

Views

Where is a mistake in my proof concerning the spectrum of elements of a unital Banach algebra?

Published on 27 Mar 2026 - 4:58

1.7k

Views

Proving Stone's Formula for Constructively obtaining the Spectral Measure for $A=A^\star$

Published on 06 Nov 2014 - 19:00

95

Views

spectrum of compact operators

Published on 26 Mar 2026 - 16:08

1.3k

Views

Eigenvalue of Compact Operators

Published on 10 Nov 2014 - 11:41

List Question

Selfadjointness of the differential operator in a singular potential

Cheeger constant for $S^2$

How to show $e^{-x}$ is a cyclic vector for $-\frac{d^{2}}{dx^{2}}$ in $L^{2}[0,\infty)$?

Is there a cyclic vector for $-\frac{d^{2}}{dx^{2}}$ on $L^{2}[0,2\pi]$ with periodic conditions?

Measurable functional calculus

Spectral convergence of coefficients of a Fourier series

A question about spectral theorem

A question about spectral measure

How to use the Spectral Theorem to Derive $L^{2}(\mathbb{R})$ Fourier Transform Theory

Spectrum of Self-Adjoint Operators

Norm of the Resolvent of a Self-Adjoint Operator

Where is a mistake in my proof concerning the spectrum of elements of a unital Banach algebra?

Proving Stone's Formula for Constructively obtaining the Spectral Measure for $A=A^\star$

spectrum of compact operators

Eigenvalue of Compact Operators

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