Question

If $\varphi$ is a normal faithful semifinite weight, is $\eta_\varphi(\mathfrak{n}_\varphi\cap\mathfrak{n}_\varphi^*)$ dense in $\mathfrak{H}_\varphi$

score 99 · Answer 1 · 2023-03-21 20:49:04

99

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If $\varphi$ is a normal faithful semifinite weight, is $\eta_\varphi(\mathfrak{n}_\varphi\cap\mathfrak{n}_\varphi^*)$ dense in $\mathfrak{H}_\varphi$

Published on 21 Mar 2023 - 20:49

score 16 · Answer 2 · 2026-03-10 08:42:07

16

Views

inclusion of von Neumann algebras implies reversing inequality of its modular operators

Published on 10 Mar 2026 - 8:42

score 69 · Answer 3 · 2023-03-23 23:41:47

69

Views

Amplification commutes with double commutant – problem understanding proof

Published on 23 Mar 2023 - 23:41

score 60 · Answer 4 · 2023-03-24 14:20:52

60

Views

Relationship between two partial isometries

Published on 24 Mar 2023 - 14:20

score 79 · Answer 5 · 2023-03-27 02:42:47

79

Views

Group von Neumann algebras and the $\|\cdot\|_{2}$ norm

Published on 27 Mar 2023 - 2:42

score 71 · Answer 6 · 2026-03-26 06:21:36

71

Views

Is integration with respect to a Radon measure a normal weight on $L^\infty(X)$?

Published on 26 Mar 2026 - 6:21

score 21 · Answer 7 · 2026-03-28 02:02:25

21

Views

Why does $\omega((I-E)T)=0$ here?

Published on 28 Mar 2026 - 2:02

score 63 · Answer 8 · 2023-04-10 16:09:31

63

Views

The inequality for the conditional expectation in a von Neumann algebra

Published on 10 Apr 2023 - 16:09

score 40 · Answer 9 · 2026-03-28 02:08:00

40

Views

If $0\le a\le p$ in a von Neumann algebra then $a \in pMp$

Published on 28 Mar 2026 - 2:08

score 29 · Answer 10 · 2023-04-11 15:18:57

29

Views

Find a projection in a type III$_1$ factor

Published on 11 Apr 2023 - 15:18

score 51 · Answer 11 · 2023-04-13 07:38:14

51

Views

The subalgebras of algebras of $\tau$-measurable operators.

Published on 13 Apr 2023 - 7:38

score 63 · Answer 12 · 2023-04-13 15:45:09

63

Views

Jordan decomposition of a normal linear functional

Published on 13 Apr 2023 - 15:45

score 43 · Answer 13 · 2023-04-17 18:44:11

43

Views

Support projection of a normal state

Published on 17 Apr 2023 - 18:44

score 20 · Answer 14 · 2023-04-25 05:13:14

20

Views

Why does $w_i^*xw_j\in e\mathscr{M}e$ here?

Published on 25 Apr 2023 - 5:13

score 16 · Answer 15 · 2023-04-26 17:22:28

16

Views

Centralize of hermitian normal linear functional

Published on 26 Apr 2023 - 17:22

List Question

If $\varphi$ is a normal faithful semifinite weight, is $\eta_\varphi(\mathfrak{n}_\varphi\cap\mathfrak{n}_\varphi^*)$ dense in $\mathfrak{H}_\varphi$

inclusion of von Neumann algebras implies reversing inequality of its modular operators

Amplification commutes with double commutant – problem understanding proof

Relationship between two partial isometries

Group von Neumann algebras and the $\|\cdot\|_{2}$ norm

Is integration with respect to a Radon measure a normal weight on $L^\infty(X)$?

Why does $\omega((I-E)T)=0$ here?

The inequality for the conditional expectation in a von Neumann algebra

If $0\le a\le p$ in a von Neumann algebra then $a \in pMp$

Find a projection in a type III$_1$ factor

The subalgebras of algebras of $\tau$-measurable operators.

Jordan decomposition of a normal linear functional

Support projection of a normal state

Why does $w_i^*xw_j\in e\mathscr{M}e$ here?

Centralize of hermitian normal linear functional

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