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Extending positive definiteness

By Dariusz Cichoń, Jan Stochel, Franciszek and Hugon Szafraniec

Abstract

Abstract. The main result of this paper gives criteria for extendibility of mappings defined on symmetric subsets of ∗-semigroups to positive definite ones. By specifying the mappings in question we obtain new solutions of relevant issues in harmonic analysis concerning truncations of some important multivariate moment problems, like complex, two-sided complex and multidimensional trigonometric moment problems. In addition, unbounded subnormality and existence of unitary power dilation of several contractions is treated as an application of our general scheme

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2055
Provided by: CiteSeerX
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