|Table of Contents|

 Property ( k) of Orlicz Sequence Spaces(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年06期
Page:
122-126
Research Field:
材料科学与工程
Publishing date:

Info

Title:
 Property ( k) of Orlicz Sequence Spaces
Author(s):
 ZUO Ming-xia PENG Li-na
 
( School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China
Keywords:
 Orlicz sequence space Luxemburg norm Orlicz norm property ( k)
PACS:
O177. 3
DOI:
10. 15938 /j. jhust. 2017. 06. 023
Abstract:
 Property ( k) is an important geometric property in Banach spaces,and it is closely associated with
fixed point property. By the geometric theory of Banach spaces and Orlicz spaces, we investigated the
characterization for property( k) in a special class of Banach spaces-Orlicz sequence spaces. Criteria for property
( k) in Orlicz sequence spaces equipped with both the Luxemburg norm and the Orlicz norm are given. As a
corollary,the sufficient condition that this kind of spaces has weak fixed point property is obtained.

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Last Update: 2018-03-10