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


On the structure of certain bounded linear operators

Author: G. D. Allen
Journal: Proc. Amer. Math. Soc. 53 (1975), 404-406
MSC: Primary 46E30; Secondary 60G99
MathSciNet review: 0438098
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Abstract: If every function $ f$ in the range of a bounded linear operator on $ {L_p}$ is equal to zero on a set of measure greater than a fixed number $ \epsilon $, it is shown that there is a common set of measure $ \epsilon $ on which every function is zero. A decomposition theorem for such operators is proved.

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PII: S 0002-9939(1975)0438098-2
Article copyright: © Copyright 1975 American Mathematical Society

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