Department of Mathematics, Faculty of Sciences, Cumhuriyet University, 58140 Sivas, Turkey
There are many different ways to subdivide the spectrum of a bounded linear operator; some of them are
motivated by applications to physics (in particular, quantum mechanics). In this study, the relationship between
the subdivisions of spectrum which are not required to be disjoint and Goldberg's classification are given.
Moreover, these subdivisions for some summability methods are studied.