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Compact Operators on some Generalized Mixed Norm Spaces
Journal article   Open access  Peer reviewed

Compact Operators on some Generalized Mixed Norm Spaces

A. Alotaibi, E. Malkowsky, H. Nergiz and Abdullah Alotaibi
Filomat, Vol.28(5), pp.1019-1026
01/01/2014
DOI: https://doi.org/10.2298/FIL1405019A

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We establish identities or estimates for the Hausdorff measure of noncompactness of operators from some generalized mixed norm spaces into any of the spaces c(0), c, l(1), and [l(1), l(infinity)](<m(mu)>). Furthermore we give necessary and sufficient conditions for the operators in these cases to be compact. Our results are complementary to those in [1, 3, 13].
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https://doi.org/10.2298/FIL1405019AView
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