J4 ›› 2013, Vol. 48 ›› Issue (12): 80-85.

• Articles • Previous Articles     Next Articles

On nonuniform polynomial trichotomy of 
evolution operators in Banach space


LI Zhi-gang, SONG Xiao-qiu*, YUE Tian   

  1. College of Science, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2013-05-31 Online:2013-12-20 Published:2014-01-09

PDF (PC)

713

Abstract:

The integral properties of nonuniform polynomial trichotomy of evolution operators are discussed in Banach space, and  an example is  illustrated the relationship between the two polynomial trichotomies which shows the evolution operator is nonuniform polynomial trichotomy but not uniform polynomial trichotomy.

Key words: evolution operator; nonuniform polynomial trichotomy; Banach space; dual space

CLC Number: 

  • O177.2
[1] LIU Yang. Some equivalent conditions of supercyclicity of bounded linear operators [J]. J4, 2013, 48(12): 75-79.
[2] CHEN Shi-zhao, CAO Xiao-hong*. Linear maps between operator algebras preserving the ascent and descent [J]. J4, 2013, 48(12): 86-89.
[3] XIE Zhong-Zhou, LIU Xiao-Ji. General solutions to two pairs of quaternion matrix equations [J]. J4, 2008, 43(12): 40-47.
[4] HUANG Cui, WANG Cai-xia, SONG Xiao-qiu*, ZHANG Ming-cui. Two parameter C-semigroups and application [J]. J4, 2013, 48(10): 14-17.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd