List questions from spectral-theory

Published on 27 Jan 2021 - 0:33

103

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Spectrum of an integral operator

Published on 07 Apr 2026 - 16:14

82

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Question about the action of the operator $(-\Delta+i)^{-1}$

Published on 01 Apr 2026 - 16:23

124

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Does $\sigma(T)=\overline{\sigma_p(T)}$ imply $\sigma_r(T)=\emptyset$?

Published on 29 Jan 2021 - 11:33

57

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Proving $\sigma(f(A))=\overline{f(\sigma(A))}$ with the spectral theorem

Published on 29 Jan 2021 - 13:20

52

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Spectral mapping theorem in a subset

Published on 31 Jan 2021 - 1:35

146

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Show that $\lambda\in\sigma_p(T)$ iff $\overline\lambda\in\sigma_r(T')$

Published on 31 Jan 2021 - 11:17

113

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Domain of harmonic oscillator and spectral decomposition

Published on 01 Feb 2021 - 18:30

49

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Can we show $\sigma_p(T)\setminus\sigma_p(T')=\sigma_r(T')$?

Published on 02 Feb 2021 - 6:06

176

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Spectrum of a unilateral weighted shift

Published on 02 Feb 2021 - 6:46

337

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The spectrum of self adjoint bounded operator on a Hilbert space - Why not use $\sigma(T^*)=\bar{\sigma(T)}$?

Published on 02 Feb 2021 - 13:38

174

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continuous and residual spectrum of the right shift

Published on 02 Feb 2021 - 17:00

452

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Homomorphism of complex unital Banach algebra is continuous

Published on 01 Apr 2026 - 2:55

176

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spectral radius of a unilateral forward weighted shift

Published on 01 Apr 2026 - 2:54

86

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Show the existence of a weighted shift operator that converges to a unilateral weighted shift operator

Published on 07 Apr 2026 - 19:26

List Question

Unilateral weighted shift operator and existence of unitary operator; spectrum of weighted shift

Spectrum of an integral operator

Question about the action of the operator $(-\Delta+i)^{-1}$

Does $\sigma(T)=\overline{\sigma_p(T)}$ imply $\sigma_r(T)=\emptyset$?

Proving $\sigma(f(A))=\overline{f(\sigma(A))}$ with the spectral theorem

Spectral mapping theorem in a subset

Show that $\lambda\in\sigma_p(T)$ iff $\overline\lambda\in\sigma_r(T')$

Domain of harmonic oscillator and spectral decomposition

Can we show $\sigma_p(T)\setminus\sigma_p(T')=\sigma_r(T')$?

Spectrum of a unilateral weighted shift

The spectrum of self adjoint bounded operator on a Hilbert space - Why not use $\sigma(T^*)=\bar{\sigma(T)}$?

continuous and residual spectrum of the right shift

Homomorphism of complex unital Banach algebra is continuous

spectral radius of a unilateral forward weighted shift

Show the existence of a weighted shift operator that converges to a unilateral weighted shift operator

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