Elementary evolutions in Banach algebra

Lindsay, J. Martin and Das, Bata Krishna (2013) Elementary evolutions in Banach algebra. Journal of the Ramanujan Mathematical Society, 28 (4). pp. 483-497. ISSN 0970-1249

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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.