• A NOTE ON DYNAMICAL SYSTEMS ON HILBERT C*- MODULES AND DYNAMICAL SYSTEMS ON C*- ALGEBRAS
Abstract
Suppose that is a unitary operator on a full Hilbert module . We describe dynamical systems on a full Hilbert module over a algebra as a one-parameter -group of unitaries on . We investigate dynamical systems on a full Hilbert module over a Frechet locally algebra. Then we discuss two-parameter dynamical systems on a full Hilbert module over a algebra. Finally we characterize infinitesimal generator of a uniformly continuous positive semigroup on a algebra.
Keywords
Full Hilbert module , Dynamical system, Unitary operator, Frechet locally algebra, -semigroup, Infinitesimal generator and generalized derivation.
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