Abstract

SANABRIA, J.; CARPINTERO, C.; ROSAS, E.  and  GARCIA, O.. On Property (Saw) and others spectral properties type Weyl-Browder theorems. Rev.colomb.mat. [online]. 2017, vol.51, n.2, pp.153-171. ISSN 0034-7426.

An operator T acting on a Banach space X satisfies the property (aw) if , where is the Weyl spectrum of T and is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two new spectral properties, namely (Saw) and (Sab), in connection with Weyl-Browder type theorems. Among other results, we prove that T satisfies property (Saw) if and only if T satisfies property (aw) and where is the upper semi B-Weyl spectrum of T.

Keywords : Semi B-Fredholm operator; α-Weyl's theorem; property ( Saw ); property ( S ab).

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