Structure of derivations on various algebras of measurable operators for type I von Neumann algebras
| dc.creator | Albeverio, S. | |
| dc.creator | Ayupov, Sh. A. | |
| dc.creator | Kudaybergenov, K. K. | |
| dc.date | 2008-08-01 | |
| dc.date.accessioned | 2026-07-07T09:54:17Z | |
| dc.date.available | 2026-07-07T09:54:17Z | |
| dc.description | Given a von Neumann algebra $M$ denote by $S(M)$ and $LS(M)$ respectively the algebras of all measurable and locally measurable operators affiliated with $M.$ For a faithful normal semi-finite trace $τ$ on $M$ let $S(M, τ)$ (resp. $S_0(M, τ)$) be the algebra of all $τ$-measurable (resp. $τ$-compact) operators from $S(M).$ We give a complete description of all derivations on the above algebras of operators in the case of type I von Neumann algebra $M.$ In particular, we prove that if $M$ is of type I$_\infty$ then every derivation on $LS(M)$ (resp. $S(M)$ and $S(M,τ)$) is inner, and each derivation on $S_0(M, τ)$ is spatial and implemented by an element from $S(M, τ).$ | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0808.0149 | |
| dc.identifier | http://arxiv.org/abs/0808.0149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166258 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L57, 46L50, 46L55, | |
| dc.title | Structure of derivations on various algebras of measurable operators for type I von Neumann algebras | |
| dc.type | text |