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http://dx.doi.org/10.4134/JKMS.2010.47.5.899

AVERAGES AND COMPACT, ABSOLUTELY SUMMING AND NUCLEAR OPERATORS ON C (Ω)  

Popa, Dumitru (DEPARTMENT OF MATHEMATICS UNIVERSITY OF CONSTANTA)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 899-924 More about this Journal
Abstract
In the paper we introduce averages of each type and use these averages to construct examples of weakly compact operators on the space C ($\Omega$) for which the necessary and sufficient conditions that they be compact, absolutely summing or nuclear are distinct. A great number of concrete examples, in various situations, are given.
Keywords
Banach spaces of continuous functions; weakly compact; compact; nuclear; p-summing;
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