On dilation of local semigroups of contractions and some applications

We show that a multiplicative family of contractions on a separable Hilbert space, with parameter on the interval [0; 1) of the dyadic rationals, has a unitary dilation with parameter on the dyadic rationals and values on a larger Hilbert space. This result is used to prove a dilation result for str...

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Bibliographic Details

Published:	2013
Subjects:	Operator semigroup, contraction operator, isometric operator positive definite
Online Access:	http://hdl.handle.net/10872/4366
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