List questions from spectral-theory

Published on 10 Apr 2026 - 5:10

172

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Spectral representation of a operator

Published on 09 Apr 2026 - 2:20

137

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Spectral representation intuitive explanation

Published on 08 Apr 2026 - 20:09

238

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Integral operator and it’s spectrum

Published on 24 Dec 2021 - 21:58

79

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Question on charaterization of the parts of the spectrum of an operator.

Published on 10 Apr 2026 - 17:46

67

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Show that $T f(x) = \frac{1}{x^2}\int\limits_0^x t f(t) dt$ is not compact.

Published on 28 Dec 2021 - 11:01

96

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Find the spectrum of $(Ff)(x)=\int_{-\pi}^{\pi} (1 + \cos(x-y))f(y)dy$

Published on 29 Dec 2021 - 23:01

222

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Spectral integral: reference request

Published on 30 Dec 2021 - 18:04

109

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Proposition 1.4 in Takesaki's book "Theory of operator algebra": about the spectral integral

Published on 11 Apr 2026 - 8:22

122

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Spectral decomposition of compact self-adjoint operator

Published on 09 Apr 2026 - 8:05

101

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Spectral integral: verification of my conceptual understanding

Published on 10 Apr 2026 - 16:31

60

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Understanding a proof of the multiplication operator version of the spectral theorem

Published on 02 Jan 2022 - 21:01

112

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Can an off-diagonal-negative matrix have both: a unique negative eigenvalue and a positive row-sum?

Published on 11 Apr 2026 - 8:50

428

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what is the spectrum of the operator $T({x_1},{x_2},{x_3}, \ldots ) = ({x_1},\frac{{{x_2}}}{2},\frac{{{x_3}}}{3}, \ldots )$?

Published on 04 Jan 2022 - 17:30

59

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Monotonicity of eigenvalues in gaps (self-adjoint below bounded operator)

Published on 10 Apr 2026 - 12:35

List Question

Minimize Dirichlet eigenvalues for Laplace operator

Spectral representation of a operator

Spectral representation intuitive explanation

Integral operator and it’s spectrum

Question on charaterization of the parts of the spectrum of an operator.

Show that $T f(x) = \frac{1}{x^2}\int\limits_0^x t f(t) dt$ is not compact.

Find the spectrum of $(Ff)(x)=\int_{-\pi}^{\pi} (1 + \cos(x-y))f(y)dy$

Spectral integral: reference request

Proposition 1.4 in Takesaki's book "Theory of operator algebra": about the spectral integral

Spectral decomposition of compact self-adjoint operator

Spectral integral: verification of my conceptual understanding

Understanding a proof of the multiplication operator version of the spectral theorem

Can an off-diagonal-negative matrix have both: a unique negative eigenvalue and a positive row-sum?

what is the spectrum of the operator $T({x_1},{x_2},{x_3}, \ldots ) = ({x_1},\frac{{{x_2}}}{2},\frac{{{x_3}}}{3}, \ldots )$?

Monotonicity of eigenvalues in gaps (self-adjoint below bounded operator)

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