J Austral Math Soc Ser A 43 pp70--73, 1987.

A Non-Absolutely Summing Operator

I. J. Maddox

(Received 25 November 1985)

Abstract

In the case when 0 < p < 1 it is proved, using a method of Macphail that the identity map i: lp ® lp is not (r, s)-absolutely summing for any r, s.

1980 AMS Subject Classification: 46A45

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Authors

I. J. Maddox
Department of Pure Mathematics, Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland.

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