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 365 · Answer 1 · 2026-04-13 03:08:15

365

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 13 Apr 2026 - 3:08

score 1.1k · Answer 2 · 2026-04-09 01:29:53

1.1k

Views

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

Published on 09 Apr 2026 - 1:29

score 557 · Answer 3 · 2026-05-02 18:19:30

557

Views

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

Published on 02 May 2026 - 18:19

score 95 · Answer 4 · 2026-04-12 08:30:36

95

Views

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

Published on 12 Apr 2026 - 8:30

score 1.9k · Answer 5 · 2026-04-13 18:55:52

1.9k

Views

Spectrum of an operator vs spectrum of a matrix

Published on 13 Apr 2026 - 18:55

score 105 · Answer 6 · 2026-04-09 02:31:49

105

Views

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

Published on 09 Apr 2026 - 2:31

score 113 · Answer 7 · 2026-05-10 14:51:52

113

Views

Exercise: Prove this unbounded operator is positive definite

Published on 10 May 2026 - 14:51

score 253 · Answer 8 · 2026-05-02 18:32:36

253

Views

Definition of fundamental eigenvalue and sign of fundamental eigenfunction.

Published on 02 May 2026 - 18:32

score 246 · Answer 9 · 2026-05-10 12:34:12

246

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 10 May 2026 - 12:34

score 602 · Answer 10 · 2026-04-14 14:26:11

602

Views

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

Published on 14 Apr 2026 - 14:26

score 74 · Answer 11 · 2026-04-16 04:24:11

74

Views

A property of unital commutative Banach *-algebra

Published on 16 Apr 2026 - 4:24

score 123 · Answer 12 · 2026-04-10 22:01:55

123

Views

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

Published on 10 Apr 2026 - 22:01

score 76 · Answer 13 · 2026-04-14 02:14:22

76

Views

Essential supremum with respect to spectral measure

Published on 14 Apr 2026 - 2:14

score 234 · Answer 14 · 2026-04-12 15:31:05

234

Views

Spectrum of Self-adjoint Diagonalizable Operators

Published on 12 Apr 2026 - 15:31

score 33 · Answer 15 · 2026-04-15 03:06:26

33

Views

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

Published on 15 Apr 2026 - 3:06

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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