Abstract. In this article we study left and right poles of the resolvent of a bounded operator defined on an infinite-dimensional complex Banach space. In particular, some spectral decompositions associated with left and right poles of the resolvent are established, and the components of the upper and lower semi B-Fredholm regions are studied by means of the localized single valued extension property.
AMS Subject Classification
(1991): 47A10, 47A11; 47A53, 47A55
Keyword(s):
localized SVEP,
B,
semi-Browder operators,
semi B-Weyl operators,
left and right Drazin invertibility
Received October 2, 2007, and in revised form December 17, 2007. (Registered under 6039/2009.)
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