Previous issue ·  Next issue ·  Recently posted articles ·  Most recent issue · All issues   
Home Overview Authors Editorial Contact Subscribe

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.

Contents    Full-Text PDF