Journal of the Ramanujan Mathematical Society

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Elementary Evolutions in Banach Algebra


Affiliations
1 Indian Statistical Institute (Bangalore Centre), Mysore Road, RV College Post, Bangalore 560 059, India
2 Department of Mathematics and Statistics, Fylde College, Lancaster University, Lancaster LA1 4YF, United Kingdom
     

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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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  • Elementary Evolutions in Banach Algebra

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Authors

B. Krishna Das
Indian Statistical Institute (Bangalore Centre), Mysore Road, RV College Post, Bangalore 560 059, India
J. Martin Lindsay
Department of Mathematics and Statistics, Fylde College, Lancaster University, Lancaster LA1 4YF, United Kingdom

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.