Question

if $Y$ is eigenspace to an eigenvalue $\lambda$ of an operator $T,$ and if $T_1$ is restriction of $T$ to $Y$. find spectrum of $\sigma(T_1)$

score 362 · Answer 1 · 2018-03-10 14:52:07

362

Views

if $Y$ is eigenspace to an eigenvalue $\lambda$ of an operator $T,$ and if $T_1$ is restriction of $T$ to $Y$. find spectrum of $\sigma(T_1)$

Published on 10 Mar 2018 - 14:52

score 1.1k · Answer 2 · 2018-03-13 12:30:17

1.1k

Views

What is a semi-simple eigenvalue of a linear operator?

Published on 13 Mar 2018 - 12:30

score 551 · Answer 3 · 2026-03-22 21:52:25

551

Views

Trying to understand how the Gelfand spectrum relates to the usual notion of spectrum of an operator?

Published on 22 Mar 2026 - 21:52

score 92 · Answer 4 · 2018-03-15 12:53:20

92

Views

$A - \lambda I$ surjective for self adjoint $A: D(A) \rightarrow H $, $\lambda \in \mathbb C \setminus \mathbb R$

Published on 15 Mar 2018 - 12:53

score 1.9k · Answer 5 · 2018-03-21 23:07:16

1.9k

Views

Spectrum of an operator vs spectrum of a matrix

Published on 21 Mar 2018 - 23:07

score 102 · Answer 6 · 2018-03-24 22:55:41

102

Views

How is the energy-momentum spectral measure defined in relation to the energy-momentum generators?

Published on 24 Mar 2018 - 22:55

score 108 · Answer 7 · 2026-03-24 23:43:23

108

Views

Exercise: Prove this unbounded operator is positive definite

Published on 24 Mar 2026 - 23:43

score 248 · Answer 8 · 2026-03-23 13:40:51

248

Views

Definition of fundamental eigenvalue and sign of fundamental eigenfunction.

Published on 23 Mar 2026 - 13:40

score 240 · Answer 9 · 2026-03-25 01:20:36

240

Views

If $T:D(T)\longrightarrow H$ is an unbounded operator in a Hilbert Space, is it true that $\sigma_r(T) = \emptyset$?

Published on 25 Mar 2026 - 1:20

score 599 · Answer 10 · 2018-03-26 00:30:34

599

Views

If $\lambda$ is in spectrum of bounded linear operator $A$, then $\lambda^n$ is in spectrum of $A^n$.

Published on 26 Mar 2018 - 0:30

score 71 · Answer 11 · 2018-03-28 23:33:02

71

Views

A property of unital commutative Banach *-algebra

Published on 28 Mar 2018 - 23:33

score 121 · Answer 12 · 2018-03-29 01:01:57

121

Views

The set of all regular points of a self-adjoint operator in a Hilbert space is an open set.

Published on 29 Mar 2018 - 1:01

score 73 · Answer 13 · 2018-04-01 18:08:30

73

Views

Essential supremum with respect to spectral measure

Published on 01 Apr 2018 - 18:08

score 233 · Answer 14 · 2026-03-25 03:18:56

233

Views

Spectrum of Self-adjoint Diagonalizable Operators

Published on 25 Mar 2026 - 3:18

score 30 · Answer 15 · 2018-04-03 11:29:59

30

Views

Calulating the orthogonal complement of the sp(1,-1,1) and the second complement.

Published on 03 Apr 2018 - 11:29

List Question

if $Y$ is eigenspace to an eigenvalue $\lambda$ of an operator $T,$ and if $T_1$ is restriction of $T$ to $Y$. find spectrum of $\sigma(T_1)$

What is a semi-simple eigenvalue of a linear operator?

Trying to understand how the Gelfand spectrum relates to the usual notion of spectrum of an operator?

$A - \lambda I$ surjective for self adjoint $A: D(A) \rightarrow H $, $\lambda \in \mathbb C \setminus \mathbb R$

Spectrum of an operator vs spectrum of a matrix

How is the energy-momentum spectral measure defined in relation to the energy-momentum generators?

Exercise: Prove this unbounded operator is positive definite

Definition of fundamental eigenvalue and sign of fundamental eigenfunction.

If $T:D(T)\longrightarrow H$ is an unbounded operator in a Hilbert Space, is it true that $\sigma_r(T) = \emptyset$?

If $\lambda$ is in spectrum of bounded linear operator $A$, then $\lambda^n$ is in spectrum of $A^n$.

A property of unital commutative Banach *-algebra

The set of all regular points of a self-adjoint operator in a Hilbert space is an open set.

Essential supremum with respect to spectral measure

Spectrum of Self-adjoint Diagonalizable Operators

Calulating the orthogonal complement of the sp(1,-1,1) and the second complement.

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