Affiliation:
1. Department of Mathematics, Faculty of Science, Damietta University, Damietta, Egypt
Abstract
In this paper, a study is made on two well-known operator matrices; the Rhaly
operator Ra and the generalized difference operator ?ab. Firstly, some
compactness results for the operators Ra and ?ab, whose purpose is to help
in describing their spectra, are derived. Next, general results on
investigating the spectra of such operators on a large class of Banach
sequence spaces are established. These results give a complete description
of the spectra. The obtained results unify, extend and improve many
comparable results in the existing literature.
Publisher
National Library of Serbia
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