Question

Let $H$ and $V$ be bounded self-adjoint operators. If $V$ is compact then $E_{H+V}(J)-E_{H}(J)$ is a compact operator.

score 56 · Answer 1 · 2026-04-10 11:39:16

56

Views

Let $H$ and $V$ be bounded self-adjoint operators. If $V$ is compact then $E_{H+V}(J)-E_{H}(J)$ is a compact operator.

Published on 10 Apr 2026 - 11:39

score 81 · Answer 2 · 2026-04-11 22:05:18

81

Views

On the spectrum of the closure of a closable operator in a Hilbert space

Published on 11 Apr 2026 - 22:05

score 97 · Answer 3 · 2022-08-28 05:40:05

97

Views

Find a bounded operator $T$ with spectrum $\sigma(T) = \mathbb{C}$

Published on 28 Aug 2022 - 5:40

score 83 · Answer 4 · 2026-03-26 06:19:08

83

Views

Finding the (smallest) hypersphere that encloses a known ellipsoid without computing eigenvalues

Published on 26 Mar 2026 - 6:19

score 117 · Answer 5 · 2026-04-12 03:11:31

117

Views

Spectral Theorem version for $ \mathbb{Q}$ or field with characteristic $0$ in general?

Published on 12 Apr 2026 - 3:11

score 50 · Answer 6 · 2026-04-10 02:01:01

50

Views

How much novelty is there in spectral theory over Clifford algebras?

Published on 10 Apr 2026 - 2:01

score 29 · Answer 7 · 2026-04-09 02:11:15

29

Views

Prove existence of formula of adjoint operator

Published on 09 Apr 2026 - 2:11

score 89 · Answer 8 · 2022-09-11 17:42:23

89

Views

$σ(f(T))$ not equal to $f(σ(T))?$

Published on 11 Sep 2022 - 17:42

score 89 · Answer 9 · 2026-04-11 12:49:29

89

Views

Relation between eigenvalue and representation of compact Lie group

Published on 11 Apr 2026 - 12:49

score 67 · Answer 10 · 2026-04-11 20:57:55

67

Views

Controlling the spectrum of $S + \mu \vec{v} \vec{v}^\dagger$ by changing $\mu$.

Published on 11 Apr 2026 - 20:57

score 92 · Answer 11 · 2026-04-10 08:41:37

92

Views

About notations of spectral measure

Published on 10 Apr 2026 - 8:41

score 77 · Answer 12 · 2026-04-11 09:32:25

77

Views

Approximating a normal operator by invertible normal operators

Published on 11 Apr 2026 - 9:32

score 47 · Answer 13 · 2022-09-19 12:16:31

47

Views

Show $ \lambda(P - \lambda^2)^{-1} = -i \int_0^\infty e^{-it\lambda} \cos(t \sqrt{P}) dt$ for positive, self-adjoint $P$, and $\text{Im} \lambda < 0$

Published on 19 Sep 2022 - 12:16

score 132 · Answer 14 · 2022-09-19 19:33:11

132

Views

Spectral measure for a finite set of mutually commuting normal operators

Published on 19 Sep 2022 - 19:33

score 177 · Answer 15 · 2026-04-12 03:01:11

177

Views

Writing a real symmetric matrix $U^tAU$

Published on 12 Apr 2026 - 3:01

List Question

Let $H$ and $V$ be bounded self-adjoint operators. If $V$ is compact then $E_{H+V}(J)-E_{H}(J)$ is a compact operator.

On the spectrum of the closure of a closable operator in a Hilbert space

Find a bounded operator $T$ with spectrum $\sigma(T) = \mathbb{C}$

Finding the (smallest) hypersphere that encloses a known ellipsoid without computing eigenvalues

Spectral Theorem version for $ \mathbb{Q}$ or field with characteristic $0$ in general?

How much novelty is there in spectral theory over Clifford algebras?

Prove existence of formula of adjoint operator

$σ(f(T))$ not equal to $f(σ(T))?$

Relation between eigenvalue and representation of compact Lie group

Controlling the spectrum of $S + \mu \vec{v} \vec{v}^\dagger$ by changing $\mu$.

About notations of spectral measure

Approximating a normal operator by invertible normal operators

Show $ \lambda(P - \lambda^2)^{-1} = -i \int_0^\infty e^{-it\lambda} \cos(t \sqrt{P}) dt$ for positive, self-adjoint $P$, and $\text{Im} \lambda < 0$

Spectral measure for a finite set of mutually commuting normal operators

Writing a real symmetric matrix $U^tAU$

Trending Questions

Popular # Hahtags

Popular Questions