Abstract and Applied Analysis
Volume 2013 (2013), Article ID 421031, 7 pages
http://dx.doi.org/10.1155/2013/421031
Research Article

Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space

Havva Nergiz and Feyzi Başar

Department of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 İstanbul, Turkey

Received 2 January 2013; Accepted 12 February 2013

Academic Editor: Józef Banaś

Copyright © 2013 Havva Nergiz and Feyzi Başar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The sequence space was introduced by Maddox (1967). Quite recently, the sequence space of nonabsolute type has been introduced and studied which is the domain of the double sequential band matrix in the sequence space by Nergiz and Başar (2012). The main purpose of this paper is to investigate the geometric properties of the space , like rotundity and Kadec-Klee and the uniform Opial properties. The last section of the paper is devoted to the conclusion.