Derivations on LMC*-Algebras
β Scribed by R. Becker
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 531 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
It is shown that derivations on LMC*βalgebras are always continuous and generate a continuous oneβparameter group of automorphisms. The structure of the derivation and the automorphism group on LMC*βalgebras is investigated.
π SIMILAR VOLUMES
When attempting to find sufficient conditions for a linear mapping to be a derivation, an obvious candidate is the concept of a local derivation. Local derivations on operator algebras have been investigated in recent papers of Kadison (J. Algebra 130 (1990), 494 509) and Larson and Sourour (Proc. S
## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π into an πβbimodule β³οΈ. We show that if β³οΈ is a weak\* closed operator algebra containing π then there are an element __S__ β β³οΈ and a linear functional __f__ on π such that __Ξ΄__ (__A__) = __SA__ β __AS__ + __f__ (__A__)__I__ fo