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Elementary evolutions in Banach algebra

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>12/2013
<mark>Journal</mark>Journal of the Ramanujan Mathematical Society
Issue number4
Number of pages15
Pages (from-to)483-497
<mark>Original language</mark>English


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.