Acta mathematica scientia,Series A

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A Spectral Characterization for Stability of C0-semigroups

on ∑e1 Type Banach Spaces

Su Weigang; Zhong Huaijie   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007
  • Received:2006-11-09 Revised:2007-12-24 Online:2008-06-25 Published:2008-06-25
  • Contact: Su Weigang

Abstract: This paper discusses the special properties of the spectrum of bounded
linear operators in a class of indecomposable e1 type Banach spaces;gives a spectral characterization for stability of uniformly bounded C0-semigroups on e1 type Banach spaces, and gives an application to the stability theorem.

Key words: Banach space, e1 type space, Spectrum, Stability

CLC Number: 

  • 46B26
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