数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 427-434.doi: 10.1016/S0252-9602(09)60042-4

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PROPERTIES OF SOME SETS OF SEQUENCES DEFINED BY A MODULUS FUNCTION

Yavuz Altin   

  1. Department of Mathematics, Firat University, 23119, Elaz??g-TURKEY
  • 收稿日期:2006-04-27 修回日期:2007-07-11 出版日期:2009-03-20 发布日期:2009-03-20

PROPERTIES OF SOME SETS OF SEQUENCES DEFINED BY A MODULUS FUNCTION

Yavuz Altin   

  1. Department of Mathematics, Firat University, 23119, Elaz??g-TURKEY
  • Received:2006-04-27 Revised:2007-07-11 Online:2009-03-20 Published:2009-03-20

摘要:

In this article, the author introduces the generalized difference paranormed sequence spaces cmv, f, p, q, s) , c0mv, f, p, q, s) , and ?mv, f, p, q, s) defined over a seminormed sequence space (X, q) . The author also studies their properties like complete-ness, solidity, symmetricity, etc.

关键词: Difference sequence, modulus function, seminorm

Abstract:

In this article, the author introduces the generalized difference paranormed sequence spaces cmv, f, p, q, s) , c0mv, f, p, q, s) , and ?mv, f, p, q, s) defined over a seminormed sequence space (X, q) . The author also studies their properties like complete-ness, solidity, symmetricity, etc.

Key words: Difference sequence, modulus function, seminorm

中图分类号: 

  • 40A05