List questions from operator-theory

Published on 11 Apr 2026 - 10:46

370

Views

Operator topologies on $L^{\infty}(X,\mu )$

Published on 11 Apr 2026 - 5:50

114

Views

Rate of convergence of projection matrix

Published on 15 Apr 2026 - 3:41

289

Views

Test Functions and Distributions - Homogenous of degree $\alpha$

Published on 15 Apr 2026 - 14:10

968

Views

Big O notation for matrix determinant

Published on 18 Apr 2026 - 17:46

271

Views

Point spectrum of $T$ implies residual spectrum of $T'$?

Published on 15 Apr 2026 - 5:08

1k

Views

Stably Finite C$^\ast$-algebras

Published on 13 Apr 2026 - 19:53

31

Views

Proving that two operators are finite-rank

Published on 16 Apr 2026 - 9:17

919

Views

Domain of the fractional power of a linear operator

Published on 11 Apr 2026 - 12:38

593

Views

Bochner Integral of trace class operator-valued function

Published on 10 Apr 2026 - 2:01

158

Views

If $(\mathcal D(A),A)$ is a linear operator, then $\mathcal D(A)\subseteq\mathcal D(A^{1/2})$

Published on 11 Apr 2026 - 2:34

161

Views

A property of eigenvalues of the generators of a strongly continuous semigroup

Published on 25 Mar 2026 - 20:14

145

Views

Let $-A$ be the generator of a $C^0$-semigroup $S$. How can we show that $S(t)x\in\mathcal D(A^α)$ for all $t\ge 0$ and $x\in\mathcal D(A^α)$?

Published on 26 Mar 2026 - 6:32

124

Views

Spectrum of bounded operators

Published on 12 Apr 2026 - 5:14

562

Views

Self-adjoint bounded operators in a Hilbert space

Published on 12 Apr 2026 - 6:06

List Question

Is a continuous function a continuous operator on the space of Hölder functions?

Operator topologies on $L^{\infty}(X,\mu )$

Rate of convergence of projection matrix

Test Functions and Distributions - Homogenous of degree $\alpha$

Big O notation for matrix determinant

Point spectrum of $T$ implies residual spectrum of $T'$?

Stably Finite C$^\ast$-algebras

Proving that two operators are finite-rank

Domain of the fractional power of a linear operator

Bochner Integral of trace class operator-valued function

If $(\mathcal D(A),A)$ is a linear operator, then $\mathcal D(A)\subseteq\mathcal D(A^{1/2})$

A property of eigenvalues of the generators of a strongly continuous semigroup

Let $-A$ be the generator of a $C^0$-semigroup $S$. How can we show that $S(t)x\in\mathcal D(A^α)$ for all $t\ge 0$ and $x\in\mathcal D(A^α)$?

Spectrum of bounded operators

Self-adjoint bounded operators in a Hilbert space

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