J. Korean Math. Soc. 2010; 47(5): 899-924
Printed September 1, 2010
https://doi.org/10.4134/JKMS.2010.47.5.899
Copyright © The Korean Mathematical Society.
Dumitru Popa
University of Constanta
In the paper we introduce averages of each type and use these averages to construct examples of weakly compact operators on the space $C\left( \Omega \right) $ 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
MSC numbers: 46B28, 47B10, 47G10
2017; 54(6): 1801-1816
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