Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (6): 1281-1290.

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Property (H) and Perturbations

Lihong Chen(),Weigang Su*()   

  1. School of Mathematics and Informatics, Fujian Normal University, Fuzhou 350117
  • Received:2018-09-05 Online:2019-12-26 Published:2019-12-28
  • Contact: Weigang Su E-mail:chenlh2016@163.com;wgsu@fjnu.edu.cn
  • Supported by:
    the NSFC(11171066);the Natural Science Foundation of Fujian Province(2013J01003)

Abstract:

This paper introduces two new spectral properties (H) and (gH), and investigates the two properties in connection with Weyl type theorems. Also the preservation of the two properties are studied under commuting nilpotent, quasi-nilpotent, finite rank or Riesz perturbation.

Key words: Banach space, Weyl type theorems, Property (H) and (gH), Perturbation

CLC Number: 

  • O177.2
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