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On Some Classes of Extensions of Sectorial Operators and Dual Pairs of Contractions

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Recent Advances in Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 124))

Abstract

Some classes of contractive and noncontractive extensions of a dual pair of contractions are investigated. A problem of a description of the set of all m-sectorial extensions of a sectorial operator is solved in terms of its linear-fractional transformation. Some complements to the J. von Neumann inequality is obtained also.

Dedicated to Professor Israel Gohberg on the occasion of his seventieth birthday

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Author information

Authors and Affiliations

  1. Department of Mathematics, Donetsk State University, Universitetskaya st. 24, 340055, Donetsk, Ukraine

    M. M. Malamud

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  1. M. M. Malamud
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Editors and Affiliations

  1. Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    A. Dijksma

  2. Division of Mathematics and Computer Science Faculty of Sciences, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands

    M. A. Kaashoek  & A. C. M. Ran  & 

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Malamud, M.M. (2001). On Some Classes of Extensions of Sectorial Operators and Dual Pairs of Contractions. In: Dijksma, A., Kaashoek, M.A., Ran, A.C.M. (eds) Recent Advances in Operator Theory. Operator Theory: Advances and Applications, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8323-8_19

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  • DOI: https://doi.org/10.1007/978-3-0348-8323-8_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9516-3

  • Online ISBN: 978-3-0348-8323-8

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