List questions from spectral-theory

Published on 29 Dec 2014 - 3:01

64

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Special Elements: Spectrum

Published on 02 Jan 2015 - 23:09

62

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The spectrum of an irreducible reversible Markov kernel is contained in $[-1,1)$

Published on 28 Mar 2026 - 9:34

155

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Spectral decomposition of the operator $L^2\to L^2,f\mapsto\int f$

Published on 04 Oct 2019 - 19:09

139

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Symetric matrix with non-negative entries has an eigenvalue with non-negative coordinates.

Published on 04 Oct 2019 - 23:25

152

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An easy application of the spectral theorem for a self-adjoint operator on $L^2$

Published on 05 Oct 2019 - 10:09

83

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Generalization of a symmetric eigenvalue problem for linear operators on a Hilbert space

Published on 05 Oct 2019 - 17:37

217

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Spectral measure for symmetric matrices

Published on 06 Oct 2019 - 13:47

99

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Can we show that $\sup_{\left\|x\right\|_H=1}\langle Ax,x\rangle_H$ is attained at the supremum of $\sigma(A+A^\ast)$?

Published on 27 Mar 2026 - 0:10

227

Views

Does the numerical range contain all eigenvalues in infinite dimensions?

Published on 07 Oct 2019 - 11:43

393

Views

More direct proof for $\sigma(T) \subset{\overline{W(T)}}$ (numerical range contains spectrum)

Published on 23 Feb 2026 - 6:38

26

Views

Remove general drift from data? (Spectral Analysis)

Published on 27 Mar 2026 - 14:57

27

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How does $\sigma(T^*T)$ depends on $\sigma(T)$?

Published on 27 Mar 2026 - 1:50

30

Views

Is the function mapping a self-adjoint operator on a Hilbert space to the maximum of its spectrum differentiable?

Published on 10 Oct 2019 - 5:06

435

Views

Spectrum of complex normed space bounded operator

Published on 10 Oct 2019 - 19:33

List Question

Summary: Spectrum vs. Numerical Range

Special Elements: Spectrum

The spectrum of an irreducible reversible Markov kernel is contained in $[-1,1)$

Spectral decomposition of the operator $L^2\to L^2,f\mapsto\int f$

Symetric matrix with non-negative entries has an eigenvalue with non-negative coordinates.

An easy application of the spectral theorem for a self-adjoint operator on $L^2$

Generalization of a symmetric eigenvalue problem for linear operators on a Hilbert space

Spectral measure for symmetric matrices

Can we show that $\sup_{\left\|x\right\|_H=1}\langle Ax,x\rangle_H$ is attained at the supremum of $\sigma(A+A^\ast)$?

Does the numerical range contain all eigenvalues in infinite dimensions?

More direct proof for $\sigma(T) \subset{\overline{W(T)}}$ (numerical range contains spectrum)

Remove general drift from data? (Spectral Analysis)

How does $\sigma(T^*T)$ depends on $\sigma(T)$?

Is the function mapping a self-adjoint operator on a Hilbert space to the maximum of its spectrum differentiable?

Spectrum of complex normed space bounded operator

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