List questions from spectral-theory

Published on 11 Apr 2026 - 17:05

32

Views

Compactness of group of unitaries that commute with density operator

Published on 09 Apr 2026 - 11:06

45

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Complement of spectrum of a invertible self-adjoint element has no bounded components

Published on 01 Apr 2026 - 18:58

86

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Find an expression for $(\lambda\textbf{1}-a)^{-1}$.

Published on 01 Apr 2026 - 19:03

67

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Why does the problem $A u = \lambda u$ bother us in Spectral Theory? Why are we interested in the inverse of $(A - \lambda I)$, and not simply of $A$?

Published on 10 Apr 2026 - 22:41

59

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Integrating unbounded functions w.r.t. a projection-valued measure

Published on 04 Apr 2022 - 18:42

128

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Checking a possible corollary of Gelfand's formula

Published on 10 Apr 2026 - 13:04

365

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Compact integral operator on $H^1(\mathbb{R})$

Published on 25 Mar 2026 - 15:38

111

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Spectrum of a compact operator - proof clarification

Published on 10 Apr 2026 - 23:23

159

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Weak convergence of Reversible and ergodic Markov chain on uncountable state space,

Published on 02 Apr 2026 - 23:20

77

Views

Operator on Hilbert space restricted to orthogonal complement

Published on 11 Apr 2026 - 0:54

67

Views

I don't understand our proof for "The spectral radius of a normal operator $A$ is equal to the norm of $A$", it's different to what I've found here

Published on 27 Mar 2026 - 6:09

311

Views

How is the spectral decomposition of a skew-symmetric matrix $A$ related to that of $iA$?

Published on 26 Mar 2026 - 23:10

186

Views

Reverse spectral theorem proof

Published on 18 Apr 2022 - 12:34

51

Views

Eigenvalues decreasing to zero

Published on 28 Mar 2026 - 10:36

List Question

Spectrum of positive linear operators defined for every $L^p$ space.

Compactness of group of unitaries that commute with density operator

Complement of spectrum of a invertible self-adjoint element has no bounded components

Find an expression for $(\lambda\textbf{1}-a)^{-1}$.

Why does the problem $A u = \lambda u$ bother us in Spectral Theory? Why are we interested in the inverse of $(A - \lambda I)$, and not simply of $A$?

Integrating unbounded functions w.r.t. a projection-valued measure

Checking a possible corollary of Gelfand's formula

Compact integral operator on $H^1(\mathbb{R})$

Spectrum of a compact operator - proof clarification

Weak convergence of Reversible and ergodic Markov chain on uncountable state space,

Operator on Hilbert space restricted to orthogonal complement

I don't understand our proof for "The spectral radius of a normal operator $A$ is equal to the norm of $A$", it's different to what I've found here

How is the spectral decomposition of a skew-symmetric matrix $A$ related to that of $iA$?

Reverse spectral theorem proof

Eigenvalues decreasing to zero

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