Representation of bounded linear operators with equal spectral projections at zero
Commun. Korean Math. Soc. 2010 Vol. 25, No. 4, 547-556
https://doi.org/10.4134/CKMS.2010.25.4.547
Printed December 1, 2010
Yun Zhang and Dong-Jun Chen
Huaibei Coal Industry Teachers College, Huaibei Coal Industry Teachers College
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
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