List questions from spectral-theory

Published on 22 Sep 2016 - 19:12

75

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How does this operator act on a function, and how does this change of co-ordinates work?

Published on 26 Sep 2016 - 10:35

112

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Example 5.13 in Bonsall and Duncan Complete Normed Algebras

Published on 27 Mar 2026 - 20:53

107

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Proof using Spectral Decomposition

Published on 28 Sep 2016 - 1:44

560

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Why is the spectral radius of a matrix not a norm?

Published on 28 Sep 2016 - 3:51

95

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Equivalence of spectral theorems

Published on 27 Mar 2026 - 20:54

292

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The relationship between $\|A^n\|,\|e^{tA}\|$ and its spectral radius and spectral abscissa

Published on 30 Sep 2016 - 3:46

68

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Linear maps on finite dimensional space

Published on 01 Oct 2016 - 1:31

535

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Diagonalization of block anti-diagonal matrix

Published on 02 Oct 2016 - 2:19

138

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Certain neighbourhood of diagonal elements of a Hermitian matrix contains at least one eigenvalue of the matrix.

Published on 03 Oct 2016 - 18:25

220

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Significance and application of Riesz Decomposition Theorem

Published on 27 Mar 2026 - 16:03

33

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Why do I get better numeric results when using a matrix $A^\ast A$ instead of using $A$ itself?

Published on 06 Oct 2016 - 7:36

78

Views

Is the operator $Af = \int_0^1 k(x,y) f(x) dx$ irreducible provided that $Af = f$ has unique solution such that $\int_0^1 f = 1$

Published on 25 Mar 2026 - 4:43

40

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How to prove the following using Hilbert Scales?

Published on 08 Oct 2016 - 6:24

251

Views

How to define the power of an positive operator?

Published on 08 Oct 2016 - 9:04

List Question

Eigendecomposition of Hermitian matrix descended from a Unitary

How does this operator act on a function, and how does this change of co-ordinates work?

Example 5.13 in Bonsall and Duncan Complete Normed Algebras

Proof using Spectral Decomposition

Why is the spectral radius of a matrix not a norm?

Equivalence of spectral theorems

The relationship between $\|A^n\|,\|e^{tA}\|$ and its spectral radius and spectral abscissa

Linear maps on finite dimensional space

Diagonalization of block anti-diagonal matrix

Certain neighbourhood of diagonal elements of a Hermitian matrix contains at least one eigenvalue of the matrix.

Significance and application of Riesz Decomposition Theorem

Why do I get better numeric results when using a matrix $A^\ast A$ instead of using $A$ itself?

Is the operator $Af = \int_0^1 k(x,y) f(x) dx$ irreducible provided that $Af = f$ has unique solution such that $\int_0^1 f = 1$

How to prove the following using Hilbert Scales?

How to define the power of an positive operator?

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