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Journal of Operator Theory

Volume 35, Issue 1, Winter 1996  pp. 117-132.

On commutant lifting with finite defect

Authors Rodrigo Arocena (1), Tomas Ya. Azizov (2), Aad Dijksma (3) and Stefania A.M. Marcantognini (4)
Author institution: (1) Facultad de Ciencias, Universidad de la Republica, Jose M. Montero 3006, ap. 503, Montevideo, URUGUAY, e-mail:
(2) Department of Mathematics, Voronezh State University, Universitetskaja pl., 1, 394693 Voronezh, RUSSIA, e-mail:
(3) Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, THE NETHERLANDS, e-mail:
(4) Department of Mathematics, Simón Bolivar University, Apart. Postal 89000, Caracas 1086-A, VENEZUELA, e-mail:

Summary:  In this note we generalize a theorem of J.A. Ball and W.J. Helton on commutant lifting with finite defect to a KreÄ­n space setting. The proof of the generalization is based on an invariant subspace theorem.

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