SOME LOCAL SPECTRAL PROPERTIES OF T AND S WITH AT - SA = 0

  • Yoo, Jong-Kwang (Department of Liberal Arts and Science, Chodang University) ;
  • Han, Hyuk (Department of Liberal Arts, College of Industrial Science, Kongju National University)
  • Published : 2008.09.30

Abstract

Let T and S be bounded linear operators on Banach spaces X and y, respectively. A linear map A : X ${\rightarrow}$ y is said to be an intertwiner if AT - SA = 0. In this paper we study the relation between local spectral properties of T and S on the assumption of AT - SA = 0. We give some example of intertwiner with T and S.

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