On the fine spectrum of the generalized difference operatorB(r,s)over the sequence spacesc0andc-Reference-Cited by-同舟云学术

On the fine spectrum of the generalized difference operatorB(r,s)over the sequence spacesc0andc

Published:2005 Issue:18 Volume:2005 Page:3005-3013
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Altay Bilâl¹,Başar Feyzı¹

Affiliation:

1. Matematik Eğitim Fakültesi, İnönü Üniversitesi, Malatya 44280, Turkey

Abstract

We determine the fine spectrum of the generalized difference operatorB(r,s)defined by a band matrix over the sequence spacesc0andc, and derive a Mercerian theorem. This generalizes our earlier work (2004) for the difference operatorΔ, and includes as other special cases the right shift and the Zweier matrices.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2005/854658.pdf

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