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

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 t...

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Main Authors: Havva Nergiz, Feyzi Başar
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/421031
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author Havva Nergiz
Feyzi Başar
author_facet Havva Nergiz
Feyzi Başar
author_sort Havva Nergiz
collection DOAJ
description 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.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-59d4d3ade89a44ecbbcd4427c8054d812025-02-03T06:06:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/421031421031Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence SpaceHavva Nergiz0Feyzi Başar1Department of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 İstanbul, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 İstanbul, TurkeyThe 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.http://dx.doi.org/10.1155/2013/421031
spellingShingle Havva Nergiz
Feyzi Başar
Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space
Abstract and Applied Analysis
title Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space
title_full Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space
title_fullStr Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space
title_full_unstemmed Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space
title_short Some Geometric Properties of the Domain of the Double Sequential Band Matrix in the Sequence Space
title_sort some geometric properties of the domain of the double sequential band matrix in the sequence space
url http://dx.doi.org/10.1155/2013/421031
work_keys_str_mv AT havvanergiz somegeometricpropertiesofthedomainofthedoublesequentialbandmatrixinthesequencespace
AT feyzibasar somegeometricpropertiesofthedomainofthedoublesequentialbandmatrixinthesequencespace