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Elementary evolutions in Banach algebra

Research output: Contribution to journalJournal article

Published

Journal publication date12/2013
JournalJournal of the Ramanujan Mathematical Society
Journal number4
Volume28
Number of pages15
Pages483-497
Original languageEnglish

Abstract

An elementary class of evolutions in unital Banach algebras is obtained by integrating product functions over Guichardet's symmetric measure space on the half-line. These evolutions, along with a useful subclass, are characterised and a Lie-Trotter product formula is proved. The class is rich enough to form the basis for a recent approach to quantum stochastic evolutions.