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Multiple discrete semigroups of operations

Published online by Cambridge University Press:  17 April 2009

Volf Frishling
Volf Frishling
Affiliation:
Department of StatisticsUniversity of MelbourneParkville Vic 3052Australia
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Abstract

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For each t ∈ {0,1,2,…}, let Tt be a set of operators in a Banach space. Tt is called a multiple semigroup of operators with respect to some operation ⊗ between sets of operators, if Tt satisfies the semigroup property Tt+s = Tt⊗Ts. Two operations, (∘) and (·), between sets of operators are defined and properties of Tt are studied. Applications to the theory of Controlled Markov Processes are considered.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 2 , April 1990 , pp. 313 - 322
Copyright
Copyright © Australian Mathematical Society 1990

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