Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (6): 1577-1589.doi: 10.1016/S0252-9602(16)30091-1

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MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM

Wanzhong GONG, Daoxiang ZHANG   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China
  • Received:2015-06-25 Revised:2016-05-05 Online:2016-12-25 Published:2016-12-25
  • Contact: Wanzhong GONG,E-mail:gongwanzhong@shu.edu.cn E-mail:gongwanzhong@shu.edu.cn
  • Supported by:

    This work was supported by the National Science Foundation of China (11271248 and 11302002), the National Science Research Project of Anhui Educational Department (KJ2012Z127), and the PhD research startup foundation of Anhui Normal University.

Abstract:

In Orlicz-Lorentz sequence space λ ?,ω° with the Orlicz norm, uniform monotonicity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ ?,ω° are discussed.

Key words: Orlicz-Lorentz sequence space, Orlicz norm, point of upper (lower) local uniform monotonicity, uniform monotonicity, monotone coefficient

CLC Number: 

  • 46B20
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