Question

Reference request for the following theorem in Von Neumann algebras.

score 100 · Answer 1 · 2026-03-22 07:41:08

100

Views

Reference request for the following theorem in Von Neumann algebras.

Published on 22 Mar 2026 - 7:41

score 667 · Answer 2 · 2026-03-25 12:53:29

667

Views

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

Published on 25 Mar 2026 - 12:53

score 102 · Answer 3 · 2026-03-25 09:33:49

102

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 25 Mar 2026 - 9:33

score 30 · Answer 4 · 2026-03-25 05:05:31

30

Views

Invertible matrices and Adjoints

Published on 25 Mar 2026 - 5:05

score 239 · Answer 5 · 2026-03-19 11:12:15

239

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 19 Mar 2026 - 11:12

score 197 · Answer 6 · 2026-03-22 23:01:01

197

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 22 Mar 2026 - 23:01

score 40 · Answer 7 · 2026-03-23 01:37:49

40

Views

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

Published on 23 Mar 2026 - 1:37

score 371 · Answer 8 · 2026-03-17 09:01:44

371

Views

how is the rank of a skew map is even ?

Published on 17 Mar 2026 - 9:01

score 3.1k · Answer 9 · 2018-03-06 02:14:28

3.1k

Views

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

Published on 06 Mar 2018 - 2:14

score 83 · Answer 10 · 2026-03-24 22:17:33

83

Views

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

Published on 24 Mar 2026 - 22:17

score 69 · Answer 11 · 2026-03-17 20:40:10

69

Views

Checking that I'm finding these adjoint operators correctly.

Published on 17 Mar 2026 - 20:40

score 44 · Answer 12 · 2026-03-17 00:04:48

44

Views

Generalization about the trace and series

Published on 17 Mar 2026 - 0:04

score 29 · Answer 13 · 2026-03-17 22:46:30

29

Views

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

Published on 17 Mar 2026 - 22:46

score 95 · Answer 14 · 2026-03-25 00:07:47

95

Views

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

Published on 25 Mar 2026 - 0:07

score 489 · Answer 15 · 2026-03-25 08:10:00

489

Views

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

Published on 25 Mar 2026 - 8:10

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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