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

• Popa, Dumitru (DEPARTMENT OF MATHEMATICS UNIVERSITY OF CONSTANTA)
• Published : 2010.09.01
• 88 4

#### 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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#### Cited by

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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 2017, https://doi.org/10.1007/s13398-016-0370-7
3. Copies of in pp.1563-5139, 2018, https://doi.org/10.1080/03081087.2018.1429379