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MOMENT PROBLEM WITH CONTRACTIVE SOLUTIONS: THE REGULAR CASE

By Zenon J. Jabloński and Communicated Joseph A. Ball

Abstract

Abstract. An operator multivariate moment problem with contractive solutions having regular unitary dilation is characterized in terms of the initial data. This extends a recent result of Sebestyén and Popovici, but the ideas of our proof differ from those used by them. The connection between the operator multivariate moment problem and harmonizable multivariate discrete processes is mentioned. 1. From now on D stands for a complex inner product space and H for a complex Hilbert space. Let us denote by L(D, H) (resp.B(D, H)) the set of all linear (resp. bounded linear) operators from D to H. For simplicity we write B(H) instea

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2819
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