Non Commutative Arens Algebras and their Derivations
| dc.creator | Albeverio, S. | |
| dc.creator | Ayupov, Sh. A. | |
| dc.creator | Kudaybergenov, K. K. | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T07:50:28Z | |
| dc.date.available | 2026-07-07T07:50:28Z | |
| dc.description | Given a von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ we consider the non commutative Arens algebra $L^ω(M, τ)=\bigcap\limits_{p\geq1}L^{p}(M, τ)$ and the related algebras $L^ω_2(M, τ)=\bigcap\limits_{p\geq2}L^{p}(M, τ)$ and $M+L^ω_2(M, τ)$ which are proved to be complete metrizable locally convex *-algebras. The main purpose of the present paper is to prove that any derivation of the algebra $M+L^ω_2(M, τ)$ is inner and all derivations of the algebras $L^ω(M,τ)$ and $L^ω_2(M, τ)$ are spatial and implemented by elements of $M+L^ω_2(M, τ).$ | |
| dc.description | 19 pages. Submitted to Journal of Functional analysis | |
| dc.identifier | https://arxiv.org/abs/math/0703170 | |
| dc.identifier | http://arxiv.org/abs/math/0703170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125173 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L57; 46L50; 46L55; 46L60 | |
| dc.title | Non Commutative Arens Algebras and their Derivations | |
| dc.type | text |