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Some Geometric Properties of Generalized Cesàro-Musielak-Orlicz Spaces Equipped with the Amemiya Norm

$icon-email$ Atanu Manna , P. D. Srivastava

Abstract

A generalized Ces\`{a}ro-Musielak-Orlicz sequence space $C e s_{Φ} (q)$ endowed with the Amemiya norm is introduced. Criteria for the coordinatewise uniformly Kadec-Klee property and the Uniform Opial property of the spaces $C e s_{Φ} (q)$ with respect to the Amemiya norm are obtained.

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Some Geometric Properties of Generalized Cesàro-Musielak-Orlicz Spaces Equipped with the Amemiya Norm

Abstract