p. 23 - 28 Nonautonomous Livšic colligations and hyponormal operators I. V. Vorobyov Received: August 10, 2007; Revised: October 17, 2008; Accepted: October 27, 2008 Abstract. In this work, the model of a nonautonomous Livšic colligation for operators that are close to the normal is studied. The connection between the determining function for operator and the characteristic function for colligation is obtained. Keywords: singular integral model; hyponormal operator. AMS Subject classification: Primary: 53A04. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |