Affiliation:
1. Politehnica University of Timişoara, Department of Mathematics, Timişoara, Romˆania
Abstract
In this paper the n-tuples of commuting isometric semigroups on a Hilbert
space and the product semigroup generated by them are considered. Properties
of the right defect spaces and characterizations of the semigroups of type
?s? are given. Also, the Wold-type decompositions with 3n summands for
n-tuples of commuting isometric semigroups are introduced. The existence and
uniqueness of such decompositions are analysed and several connections with
the Wold decompositions of each semigroup and their product semigroup are
presented.
Publisher
National Library of Serbia
Cited by
4 articles.
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