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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

$ C\sb{11}$ contractions are reflexive. II


Author: Pei Yuan Wu
Journal: Proc. Amer. Math. Soc. 82 (1981), 226-230
MSC: Primary 47A15; Secondary 47A45, 47C05
DOI: https://doi.org/10.1090/S0002-9939-1981-0609656-X
MathSciNet review: 609656
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Abstract: It has been shown previously by the author that any completely nonunitary $ {C_{11}}$ contraction with finite defect indices is reflexive. In this note we show that this is true even without the completely nonunitary assumption.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0609656-X
Keywords: $ {C_{11}}$ contraction, reflexive operator, double commutant, invariant subspace, absolutely continuous, singular unitary operators
Article copyright: © Copyright 1981 American Mathematical Society