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

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• 作者：Atanu Manna ; P. D. Srivastava
• 关键词：Musielak ; Orlicz function ; Generalized Cesàro means ; Amemiya norm ; Coordinatewise Kadec ; Klee property ; Uniform Opial property ; 46A45 ; 46A80 ; 46B20 ; 46B45 ; 46E30
• 刊名：Acta Mathematica Vietnamica
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：41
• 期：1
• 页码：91-102
• 全文大小：257 KB
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• 作者单位：Atanu Manna (1)
  P. D. Srivastava (1)
  
  1. Department of Mathematics, IIT Kharagpur, West Bengal, 721302, India
  
• 刊物主题：Mathematics, general;
• 出版者：Springer Singapore
• ISSN：2315-4144

文摘

A generalized Cesàro-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 space C e s _Φ (q) with respect to the Amemiya norm are obtained. Keywords Musielak-Orlicz function Generalized Cesàro means Amemiya norm Coordinatewise Kadec-Klee property Uniform Opial property