The Commutant Lifting Theorem for Contractions on Kreĭn Spaces View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1993

AUTHORS

Aad Dijksma , Michael Dritschel , Stefania Marcantognini , Henk de Snoo

ABSTRACT

A proof of the commutant lifting theorem for contractions on Kreĭn spaces is given. This is done by associating to the data a suitable isometry V so that a solution of the lifting problem is obtained directly from a unitary Hilbert space extension of V. Furthermore, a bijective correspondence between the solutions and the family of all minimal unitary Hilbert space extensions of V is established. In the Hilbert space case the method is due to R. Arocena. More... »

PAGES

65-83

References to SciGraph publications

  • 1974. Indefinite Inner Product Spaces in NONE
  • 1991. New Hilbert Spaces from Old in PAUL HALMOS CELEBRATING 50 YEARS OF MATHEMATICS
  • 1990. The Commutant Lifting Approach to Interpolation Problems in NONE
  • 1989. Unitary Extensions of Isometries and Contractive Intertwining Dilations in THE GOHBERG ANNIVERSARY COLLECTION
  • 1990. Extension Theorems for Contraction Operators on Kreĭn Spaces in EXTENSION AND INTERPOLATION OF LINEAR OPERATORS AND MATRIX FUNCTIONS
  • Book

    TITLE

    Operator Extensions, Interpolation of Functions and Related Topics

    ISBN

    978-3-0348-9687-0
    978-3-0348-8575-1

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-0348-8575-1_4

    DOI

    http://dx.doi.org/10.1007/978-3-0348-8575-1_4

    DIMENSIONS

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