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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The product of strong operator measurable functions is strong operator measurable


Author: G. W. Johnson
Journal: Proc. Amer. Math. Soc. 117 (1993), 1097-1104
MSC: Primary 46G10; Secondary 28B05, 28C15, 47A99
MathSciNet review: 1123654
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Abstract: Let $ {f_1}, \ldots ,{f_n}$ be strong operator measurable functions with values in the space of bounded linear operators on a separable Hilbert space. We show that the product $ {f_1} \cdots {f_n}$ is also strong operator measurable.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1123654-X
PII: S 0002-9939(1993)1123654-X
Keywords: Strong operator measurability, strong operator continuity, Souslin space, Radon measure, Lusin $ \mu $-measurability
Article copyright: © Copyright 1993 American Mathematical Society