Question

Reference request for the following theorem in Von Neumann algebras.

score 107 · Answer 1 · 2026-05-05 06:20:59

107

Views

Reference request for the following theorem in Von Neumann algebras.

Published on 05 May 2026 - 6:20

score 670 · Answer 2 · 2026-04-29 12:54:53

670

Views

Show that $ad(X)$ is also diagonalisable.

Published on 29 Apr 2026 - 12:54

score 106 · Answer 3 · 2026-04-17 11:14:05

106

Views

Given $T:E^\to E^,$ does there exist $S:E\to E$ such that $\langle Te^,e \rangle = \langle e^,Se\rangle?$

Published on 17 Apr 2026 - 11:14

score 34 · Answer 4 · 2026-04-29 12:54:58

34

Views

Invertible matrices and Adjoints

Published on 29 Apr 2026 - 12:54

score 244 · Answer 5 · 2026-05-04 14:59:43

244

Views

Any connection between the adjoint map that has determinant $det(\phi)^{(n-1)}$, and the adjoint map that has determinant $ det\phi$?

Published on 04 May 2026 - 14:59

score 201 · Answer 6 · 2026-04-29 12:25:53

201

Views

If a self-adjoint operator $A$ commutes with a bounded operator $B$, then $\ker B$ is contained in the domain of $A$

Published on 29 Apr 2026 - 12:25

score 44 · Answer 7 · 2026-04-20 11:56:20

44

Views

Prove that the characteristic polynmial of a skew mapping satisfies $c(-\lambda) = (-1)^n c(\lambda)$

Published on 20 Apr 2026 - 11:56

score 378 · Answer 8 · 2026-04-29 12:51:43

378

Views

how is the rank of a skew map is even ?

Published on 29 Apr 2026 - 12:51

score 3.1k · Answer 9 · 2026-04-29 12:54:49

3.1k

Views

Proving that the adjoint of an adjoint of an operator is the operator itself.

Published on 29 Apr 2026 - 12:54

score 85 · Answer 10 · 2026-04-11 22:40:32

85

Views

Second dual of the image of a Banach space under a continuous linear operator

Published on 11 Apr 2026 - 22:40

score 72 · Answer 11 · 2026-04-14 23:20:08

72

Views

Checking that I'm finding these adjoint operators correctly.

Published on 14 Apr 2026 - 23:20

score 49 · Answer 12 · 2026-04-29 12:54:51

49

Views

Generalization about the trace and series

Published on 29 Apr 2026 - 12:54

score 33 · Answer 13 · 2026-04-29 12:54:50

33

Views

How to determine a function that make these operators, orthogonal projectors

Published on 29 Apr 2026 - 12:54

score 98 · Answer 14 · 2026-04-29 12:54:51

98

Views

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

Published on 29 Apr 2026 - 12:54

score 491 · Answer 15 · 2026-04-10 10:33:05

491

Views

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

Published on 10 Apr 2026 - 10:33

List Question

Reference request for the following theorem in Von Neumann algebras.

Show that $ad(X)$ is also diagonalisable.

Given $T:E^\to E^,$ does there exist $S:E\to E$ such that $\langle Te^,e \rangle = \langle e^,Se\rangle?$

Invertible matrices and Adjoints

Any connection between the adjoint map that has determinant $det(\phi)^{(n-1)}$, and the adjoint map that has determinant $ det\phi$?

If a self-adjoint operator $A$ commutes with a bounded operator $B$, then $\ker B$ is contained in the domain of $A$

Prove that the characteristic polynmial of a skew mapping satisfies $c(-\lambda) = (-1)^n c(\lambda)$

how is the rank of a skew map is even ?

Proving that the adjoint of an adjoint of an operator is the operator itself.

Second dual of the image of a Banach space under a continuous linear operator

Checking that I'm finding these adjoint operators correctly.

Generalization about the trace and series

How to determine a function that make these operators, orthogonal projectors

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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