List questions from spectral-theory

Published on 01 Apr 2026 - 22:47

366

Views

Multiplication Operator on L^2(R) that has no eigenvalues on the unit circle

Published on 14 Jul 2017 - 14:42

160

Views

How to solve differential equation with operator as coefficient?

Published on 15 Jul 2017 - 4:00

201

Views

Spectral clustering

Published on 02 Apr 2026 - 12:10

108

Views

How to construct an operator with an infinite spectrum?

Published on 15 Jul 2017 - 13:44

92

Views

Does $S\leq T$ imply $\|S\|_{op}\leq \|T\|_{op}$?

Published on 16 Jul 2017 - 8:47

69

Views

Show that if $f\in C([a,b])$ and $f(x_1)=1$ for some $x_1\in[a,b]$ then $f(T)\neq 0$.

Published on 16 Jul 2017 - 16:30

130

Views

Find the spectral basis of the following endomorphism

Published on 02 Apr 2026 - 3:40

65

Views

Let $\mathcal{H}$ be the Schrödinger operator. Why is $u(x,t)\xrightarrow{t\to\pm\infty} 0\iff\sigma_p(\mathcal{H})=\emptyset$?

Published on 01 Apr 2026 - 22:49

374

Views

Unitary operator spectrum

Published on 18 Jul 2017 - 0:07

125

Views

How to show that if $f\geq 0$ on $\tau(T)\subseteq [a,b]$ then $f(T)$ is a positive operator

Published on 18 Jul 2017 - 18:18

377

Views

A question about quasi-nilpotent operators

Published on 20 Jul 2017 - 11:21

353

Views

Is $A + zB$ invertible for sufficiently small $z>0$, when $A$ is a invertible operator, and $B$ is a bounded linear operator?

Published on 22 Jul 2017 - 18:23

286

Views

Trace-class operators on unbounded spaces

Published on 01 Apr 2026 - 18:33

83

Views

How can we show that $a\leq T\leq b$ if the spectrum $\sigma (T)$ is contained in some interval $[a,b]$?

Published on 23 Jul 2017 - 21:14

List Question

Generalized creation and annihilation operators (for bounded operators)

Multiplication Operator on L^2(R) that has no eigenvalues on the unit circle

How to solve differential equation with operator as coefficient?

Spectral clustering

How to construct an operator with an infinite spectrum?

Does $S\leq T$ imply $\|S\|_{op}\leq \|T\|_{op}$?

Show that if $f\in C([a,b])$ and $f(x_1)=1$ for some $x_1\in[a,b]$ then $f(T)\neq 0$.

Find the spectral basis of the following endomorphism

Let $\mathcal{H}$ be the Schrödinger operator. Why is $u(x,t)\xrightarrow{t\to\pm\infty} 0\iff\sigma_p(\mathcal{H})=\emptyset$?

Unitary operator spectrum

How to show that if $f\geq 0$ on $\tau(T)\subseteq [a,b]$ then $f(T)$ is a positive operator

A question about quasi-nilpotent operators

Is $A + zB$ invertible for sufficiently small $z>0$, when $A$ is a invertible operator, and $B$ is a bounded linear operator?

Trace-class operators on unbounded spaces

How can we show that $a\leq T\leq b$ if the spectrum $\sigma (T)$ is contained in some interval $[a,b]$?

Trending Questions

Popular # Hahtags

Popular Questions