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

Title & Authors
AVERAGES AND COMPACT, ABSOLUTELY SUMMING AND NUCLEAR OPERATORS ON C (Ω)
Popa, Dumitru;

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 ($\small{\Omega}$) 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;
Language
English
Cited by
1.
When does a kernel generate a nuclear operator?, Quaestiones Mathematicae, 2015, 38, 4, 457
2.
The summing nature of the multiplication operator from $$l_{p}\left( \mathcal {X}\right)$$ l p X into $$c_{0}\left( \mathcal {Y}\right)$$ c 0 Y, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
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