Representation of bounded linear operators with equal spectral projections at zero

Yun Zhang; Dong-Jun Chen

doi:10.4134/CKMS.2010.25.4.547

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2010; 25(4): 547-556

Printed December 1, 2010

https://doi.org/10.4134/CKMS.2010.25.4.547

Representation of bounded linear operators with equal spectral projections at zero

Yun Zhang and Dong-Jun Chen

Huaibei Coal Industry Teachers College, Huaibei Coal Industry Teachers College

Abstract

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Abstract

In this paper, we present the reprentation of all operators $B$ which are Drazin invertible and sharing the spectral projections at 0 with a given Drazin invertible operator $A.$ Meanwhile, some related results for $EP$ operators with closed range are obtained.

Keywords: Drazin inverse, spectral projection, equation of operator

MSC numbers: 47A05, 15A09