List questions from spectral-theory

Published on 21 Jun 2015 - 14:18

90

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Solving for the spectrum and eigenvectors of the "shift operator(?)" $T$ in $P_3(\mathbb{R})$?

Published on 21 Jun 2015 - 16:45

704

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Conditions under which a function vanishing on the boundary belongs to $H_0^1$

Published on 23 Jun 2015 - 15:06

651

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Difference between continuous and essential spectrum, examples?

Published on 27 Jun 2015 - 8:49

627

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Spectral radius and matrix norm inequality as its consequence

Published on 27 Jun 2015 - 11:42

1.3k

Views

If a normal element of a C* algebra has real spectrum, then it is self-adjoint

Published on 28 Jun 2015 - 12:42

562

Views

First representation theorem for sesquilinear forms - what is the role of the "core"?

Published on 28 Jun 2015 - 17:17

2.7k

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Example: Operator with empty spectrum

Published on 30 Jun 2015 - 8:31

289

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Conway’s Functional Analysis, VIII §3 Exercise 11

Published on 30 Jun 2015 - 12:59

3.3k

Views

Definition of resolvent set

Published on 01 Jul 2015 - 9:57

1.3k

Views

Is the converse of the Spectral Theorem true?

Published on 02 Apr 2026 - 1:34

142

Views

On important functions relflecting spectral properties of Jacobi operators

Published on 02 Jul 2015 - 9:42

2k

Views

Intuition behind eigenfunctions of the Laplacian operator

Published on 31 Mar 2026 - 5:07

221

Views

Operator Norm and Submultiplicativity against the Spectral Norm

Published on 06 Jul 2015 - 0:01

3.9k

Views

Does the spectral norm of a square matrix equal its largest eigenvalue in absolute value?

Published on 29 Mar 2026 - 16:47

List Question

Question on Borel functional calculus

Solving for the spectrum and eigenvectors of the "shift operator(?)" $T$ in $P_3(\mathbb{R})$?

Conditions under which a function vanishing on the boundary belongs to $H_0^1$

Difference between continuous and essential spectrum, examples?

Spectral radius and matrix norm inequality as its consequence

If a normal element of a C* algebra has real spectrum, then it is self-adjoint

First representation theorem for sesquilinear forms - what is the role of the "core"?

Example: Operator with empty spectrum

Conway’s Functional Analysis, VIII §3 Exercise 11

Definition of resolvent set

Is the converse of the Spectral Theorem true?

On important functions relflecting spectral properties of Jacobi operators

Intuition behind eigenfunctions of the Laplacian operator

Operator Norm and Submultiplicativity against the Spectral Norm

Does the spectral norm of a square matrix equal its largest eigenvalue in absolute value?

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