Acta Mathematica Sinica

, Volume 17, Issue 3, pp 413–424

The Essential Spectrum and Banach Reducibility of Operator Weighted Shifts

ORIGINAL ARTICLES

DOI: 10.1007/s101149900033

Cite this article as:
Li, J.X., Ji, Y.Q. & Sun, S.L. Acta Math Sinica (2001) 17: 413. doi:10.1007/s101149900033

Abstract

For an operator weighted shift S, the essential spectrum σ e (S) are described. Moreover, Banach reducibility of S is investigated and a condition for S* to be a Cowen-Douglas operator is characterized.

Keywords

Operator weighted shift Essential spectrum Banach reducibility Cowen-Douglas operator 

MR (2000) Subject Classification

47B 47A10 47A15 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  1. 1.Department of MathematicsJilin UniversityChangchun 130023P. R. China
  2. 2.Department of MathematicsLiaoning UniversityShenyang 110036P. R. China
  3. 3.Department of MathematicsJilin UniversityChangchun 130023P. R. China

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