J4 ›› 2013, Vol. 48 ›› Issue (12): 86-89.

• Articles • Previous Articles     Next Articles

Linear maps between operator algebras preserving the ascent and descent

CHEN Shi-zhao, CAO Xiao-hong*   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2013-06-18 Online:2013-12-20 Published:2014-01-09

PDF (PC)

585

Abstract:

Let B(H) be the algebra of all bounded linear operators on infinite dimensional complex Hilbert space H, and let :B(H)→B(H) be a surjective linear map. If  preserves the upper semi-Browder spectrum or descent spectrum and the set of isolated points, then  is an automorphism on B(H).  If  preserves the Drazin spectrum and the set of isolated points, the  two probable structures are given.

Key words: upper semi-Browder spectrum; ascent; descent; Drazin spectrum; isolated point; linear map

CLC Number: 

  • O177.2
[1] LIU Yang. Some equivalent conditions of supercyclicity of bounded linear operators [J]. J4, 2013, 48(12): 75-79.
[2] LI Zhi-gang, SONG Xiao-qiu*, YUE Tian. On nonuniform polynomial trichotomy of 
evolution operators in Banach space [J]. J4, 2013, 48(12): 80-85.
[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