Acta Mathematica Vietnamica
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Some Geometric Properties of Generalized Cesàro-Musielak-Orlicz Spaces Equipped with the Amemiya Norm
Atanu Manna , P. D. Srivastavapp. 91-102
Abstract
A generalized Ces\`{a}ro-Musielak-Orlicz sequence space $Ces_\Phi(q)$ endowed with the Amemiya norm is introduced. Criteria for the coordinatewise uniformly Kadec-Klee property and the Uniform Opial property of the spaces $Ces_\Phi(q)$ with respect to the Amemiya norm are obtained.