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Journal of the London Mathematical Society 1976 s2-14(2):333-339; doi:10.1112/jlms/s2-14.2.333
© 1976 by London Mathematical Society
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© Oxford University Press

Operators into Lp which Factor Through lp

William B. Johnson

The Ohio State University Columbus, Ohio 43210, U.S.A.

A bounded linear operator T into Lp[0, 1] (2 < p < {infty} ) factors through lp if and only if T is compact when considered as an operator into L2[0, 1].


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