List questions from operator-theory

Published on 09 Apr 2026 - 3:40

28

Views

Adjoint maps of a strongly convergent maps also strongly convergent?

Published on 15 Apr 2026 - 16:19

311

Views

Relation between the support of spectral measure and proportionality of the identity operator

Published on 10 May 2026 - 13:50

410

Views

The definition of trace-class operators

Published on 10 May 2026 - 15:45

149

Views

to find the spectral measure $E : M_{\phi} \to B(H)$.

Published on 10 May 2026 - 15:01

100

Views

Perturbation of eigenvalues of Schrodinger Operator.

Published on 10 May 2026 - 14:56

245

Views

Does $P_2P_1 = P_2$ hold when $P_2$ and $P_1$ are orthogonal projections onto $M_2\subseteq M_1$

Published on 10 May 2026 - 17:16

1.1k

Views

Dual and bidual spaces of $B(H)$ in norm topology

Published on 10 May 2026 - 16:06

1.1k

Views

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

Published on 10 May 2026 - 18:01

66

Views

Prove that $T$ is bounded and onto.

Published on 14 Apr 2026 - 17:33

187

Views

Does for an operator on an Hilbert space symmetric, densley defined and bijective imply self adjoint?

Published on 09 Apr 2026 - 4:02

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

386

Views

Range of an integral operator

Published on 11 May 2026 - 5:00

99

Views

If $A,B$ are self-adjoint and $A+B\ge 0$, then $A_+-B_-,\ B_+-A_-\ge 0$?

Published on 10 May 2026 - 13:50

492

Views

Is the weak Laplacian under (homogeneous) Dirichlet and von Neumann boundary condition self-adjoint?

Published on 10 May 2026 - 19:38

List Question

About bounded below operators

Adjoint maps of a strongly convergent maps also strongly convergent?

Relation between the support of spectral measure and proportionality of the identity operator

The definition of trace-class operators

to find the spectral measure $E : M_{\phi} \to B(H)$.

Perturbation of eigenvalues of Schrodinger Operator.

Does $P_2P_1 = P_2$ hold when $P_2$ and $P_1$ are orthogonal projections onto $M_2\subseteq M_1$

Dual and bidual spaces of $B(H)$ in norm topology

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

Prove that $T$ is bounded and onto.

Does for an operator on an Hilbert space symmetric, densley defined and bijective imply self adjoint?

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

Range of an integral operator

If $A,B$ are self-adjoint and $A+B\ge 0$, then $A_+-B_-,\ B_+-A_-\ge 0$?

Is the weak Laplacian under (homogeneous) Dirichlet and von Neumann boundary condition self-adjoint?

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