Derivations on the Algebra of $τ$-Compact Operators Affiliated with a Type I von Neumann Algebra
| dc.creator | Albeverio, S. | |
| dc.creator | Ayupov, Sh. A. | |
| dc.creator | Kudaybergenov, K. K. | |
| dc.date | 2007-03-12 | |
| dc.date.accessioned | 2026-07-07T07:51:27Z | |
| dc.date.available | 2026-07-07T07:51:27Z | |
| dc.description | Let $M$ be a type I von Neumann algebra with the center $Z,$ a faithful normal semi-finite trace $τ.$ Let $L(M, τ)$ be the algebra of all $τ$-measurable operators affiliated with $M$ and let $S_0(M, τ)$ be the subalgebra in $L(M, τ)$ consisting of all operators $x$ such that given any $ε>0$ there is a projection $p\in\mathcal{P}(M)$ with $τ(p^{\perp})<\infty, xp\in M$ and $\|xp\|<ε.$ We prove that any $Z$-linear derivation of $S_0(M, τ)$ is spatial and generated by an element from $L(M, τ).$ | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703331 | |
| dc.identifier | http://arxiv.org/abs/math/0703331 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125514 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L57, 46L50, 46L55, 46L60 | |
| dc.title | Derivations on the Algebra of $τ$-Compact Operators Affiliated with a Type I von Neumann Algebra | |
| dc.type | text |