Some geometric properties of generalized modular sequence spaces defined by Zweier operator

Volume 9, Issue 5, pp 2289--2297 http://dx.doi.org/10.22436/jnsa.009.05.31

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Authors

Chanan Sudsukh - Department of Mathematics Statistics and Computer Science, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand. Chirasak Mongkolkeha - Department of Mathematics Statistics and Computer Science, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand.

Abstract

In this paper, the main purpose is to define generalized Cesàro sequence spaces by using the Zweier operator and to investigate the property (H) and uniform Opial property in the spaces when they are equipped with the Luxemburg norm.

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Keywords

• Generalized modular sequence spaces
• Cesàro sequence spaces
• property (H)
• uniform Opial property
• Zweier operator.

MSC

•  46B45
•  46E99

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