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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A Radon-Nikoým theorem for operator-valued measures


Author: Hugh B. Maynard
Journal: Trans. Amer. Math. Soc. 173 (1972), 449-463
MSC: Primary 28A45; Secondary 46G10
MathSciNet review: 0310187
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Abstract: The purpose of this paper is to obtain a characterization of indefinite integrals of vector-valued functions with respect to countably additive operator-valued measures with finite variation. This result is then specialized to several simpler situations.


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DOI: https://doi.org/10.1090/S0002-9947-1972-0310187-4
Keywords: Radon-Nikodým theorem, operator-valued measures, Bochner integral
Article copyright: © Copyright 1972 American Mathematical Society