Variations on Browder’s theorem. (English) Zbl 1299.47014

Zariouh, H.; Zguitti, H.

Acta Math. Univ. Comen., New Ser. 81, No. 2, 255-264 (2012).

Three new spectral properties of bounded linear operators on a complex Banach space are defined and studied in this paper. These properties are connected with the Browder spectrum of an operator. The presented research is a continuation of [M. Berkani and H. Zariouh, Math. Bohem. 134, No. 4, 369–378 (2009; Zbl 1211.47011); Mat. Vesn. 62, No. 2, 145–154 (2010; Zbl 1258.47020)] and [A. Gupta and N. Kashyap, Bull. Math. Anal. Appl. 3, 1–7 (2011; \urlemis:journals/BMAA/repository/docs/BMAA3-1-1.pdf)].

Reviewer: Michal Zajac (Bratislava)

MSC:

47A10	Spectrum, resolvent
47A53	(Semi-) Fredholm operators; index theories

Keywords:

\(B\)-Fredholm operator; Browder’s theorem; Weyl’s theorem