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A structure theory for isometric representations of a class of semigroups
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A structure theory for isometric representations of a class of semigroups

Journal für die reine und angewandte Mathematik, Vol.1972(255), pp.135-154
07/01/1972
DOI: 10.1515/crll.1972.255.135

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Abstract

Using Mackey's theory of systems of imprimitivity, we develop a structure theory for isometric representations of subsemigroups of the nonnegative real numbers. This structure theory extends the well known results of Helson and Lowdenslager concerning those isometric representations of the nonnegative real numbers which arise naturally in the study of stationary stochastic processes and prediction theory. © 1972, Walter de Gruyter. All rights reserved.

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