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Proceedings of the American Mathematical Society

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



Positive operators on a Banach space and the Fejér-Riesz theorem

Authors: A. G. Miamee and H. Salehi
Journal: Proc. Amer. Math. Soc. 56 (1976), 189-192
MathSciNet review: 0399950
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Abstract: The Fejér and Riesz theorem on the factorization of nonnegative trigonometric polynomials is extended to the nonnegative operator valued trigonometric polynomials on a Banach space. The work is based on the analysis of quasi square roots of nonnegative operator valued functions on a Banach space.

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Keywords: Banach space, nonnegative operator valued functions, trigonometric polynomials, invariant subspaces, factorization
Article copyright: © Copyright 1976 American Mathematical Society