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Abstract
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Abstract and Applied Analysis
Volume 6 (2001), Issue 5, Pages 309-315
doi:10.1155/S1085337501000434

(r,p)-absolutely summing operators on the space C (T,X) and applications

Dumitru Popa

Department of Mathematics, Ovidius University of Constanta, Constanta 8700, Romania

Abstract

We give necessary and sufficient conditions for an operator on the space C (T,X) to be (r,p)-absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r,p)-absolutely summing operator is an (r,p)-absolutely summing operator.