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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-59d4d3ade89a44ecbbcd4427c8054d81 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |