Journal of the Ramanujan Mathematical Society

Volume 28, Issue 4, December 2013 pp. 483–497.

Elementary evolutions in Banach algebra

Authors: B. Krishna Das and J. Martin Lindsay
Author institution: Indian Statistical Institute (Bangalore Centre), Mysore Road, RV College Post, Bangalore 560 059, India

Summary: 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.

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