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Proceedings of the American Mathematical Society

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



Toeplitz operators associated with isometries

Authors: B. Moore, M. Rosenblum and J. Rovnyak
Journal: Proc. Amer. Math. Soc. 49 (1975), 189-194
MSC: Primary 47B35
MathSciNet review: 0374978
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Abstract: Shift analysis includes abstract treatments of inner-outer factorization problems, the factorization problem for nonnegative functions on a circle, and Szegö's infimum problem (for scalar or operator valued functions). These problems are here generalized to a setting where the shift operator is replaced by a pair of isometries.

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Keywords: Toeplitz operator, analytic operator, isometry, invariant subspace, inner-outer factorization, Szegö infimum
Article copyright: © Copyright 1975 American Mathematical Society

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