List questions from spectral-theory

Published on 29 Oct 2018 - 14:50

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can I claim this function is bounded?

Published on 01 Nov 2018 - 19:01

147

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Spectrum and Convergence of an operator

Published on 22 Mar 2026 - 5:20

70

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Projection of $f$ onto space spanned by eigenfunctions a finite-dimensional normal random variable.

Published on 25 Mar 2026 - 13:59

2.5k

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Proving that every diagonalizable operator is normal

Published on 07 Nov 2018 - 14:00

27

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Has the resolvent with respect to a regular value a (unique) extension to the whole space?

Published on 07 Nov 2018 - 19:53

58

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Understanding the product of Normal Random Variable and Eigenfunction

Published on 25 Mar 2026 - 12:52

322

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Proof of the integral representation of the resolvent

Published on 25 Mar 2026 - 3:02

47

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Finding eigen value of $(T- \lambda I)^{-1}$

Published on 08 Nov 2018 - 0:54

1k

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How to prove that Real normal matrix with real Eigenvalues is symmetric

Published on 09 Nov 2018 - 17:31

342

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spectral properties of the shift operator

Published on 12 Nov 2018 - 20:27

75

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What can we say about the spectrum of the difference of positive elements?

Published on 15 Nov 2018 - 23:03

126

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For every normal operator, is there a unitary operator with the same spectral measure?

Published on 16 Nov 2018 - 20:10

412

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Simultaneous diagonalization of hermitian operators using the spectral theorem

Published on 21 Nov 2018 - 13:17

495

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Unbounded self-adjoint operator with compact resolvent: Expansion

Published on 25 Mar 2026 - 3:07

List Question

Two different definitions of resolvent set of unbounded linear operators

can I claim this function is bounded?

Spectrum and Convergence of an operator

Projection of $f$ onto space spanned by eigenfunctions a finite-dimensional normal random variable.

Proving that every diagonalizable operator is normal

Has the resolvent with respect to a regular value a (unique) extension to the whole space?

Understanding the product of Normal Random Variable and Eigenfunction

Proof of the integral representation of the resolvent

Finding eigen value of $(T- \lambda I)^{-1}$

How to prove that Real normal matrix with real Eigenvalues is symmetric

spectral properties of the shift operator

What can we say about the spectrum of the difference of positive elements?

For every normal operator, is there a unitary operator with the same spectral measure?

Simultaneous diagonalization of hermitian operators using the spectral theorem

Unbounded self-adjoint operator with compact resolvent: Expansion

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