On the structure of certain bounded linear operators
G. D. Allen
Proc. Amer. Math. Soc. 53 (1975), 404-406
Primary 46E30; Secondary 60G99
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Abstract: If every function in the range of a bounded linear operator on is equal to zero on a set of measure greater than a fixed number , it is shown that there is a common set of measure on which every function is zero. A decomposition theorem for such operators is proved.
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