6533b85ffe1ef96bd12c12a4

RESEARCH PRODUCT

O* - Dynamical Systems and * - Derivations of Unbounded Operator Algebras

Jean-pierre AntoineAtsushi InoueCamillo Trapani

subject

AlgebraUnbounded operatorPure mathematicsSpatial theoryDynamical systems theoryGeneral MathematicsAlgebra over a fieldGenerator (mathematics)Mathematics

description

A spatial theory is developed for * - derivations of an algebra of unbounded operators, in terms of the concept of O*-dynamical systems. Three notions of spatiality emerge, depending on the nature of the corresponding generator. Special emphasis is put on O*-dynamical systems generated by one-parameter groups of *-automorphisms and their *-derivations.

https://doi.org/10.1002/mana.3212040102