Domain of the Double Sequential Band Matrix B(r~,s~) in the Sequence Space ℓ(p)∗
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The sequence space ℓ(p) was introduced by Maddox (1967).
Quite recently, the domain of the generalized difference matrix B(r,s) in the sequence space ℓp has been investigated by Kirişçi and Başar (2010).
In the present paper, the sequence space ℓ(B~,p) of nonabsolute type has been studied which is the domain of the generalized difference matrix B(r~,s~) in the sequence space ℓ(p).
Furthermore, the alpha-, beta-, and gamma-duals of the space ℓ(B~,p) have been determined, and the Schauder basis has been given.
The classes of matrix transformations from the space ℓ(B~,p) to the spaces ℓ∞, c and c0 have been characterized.
Additionally, the characterizations of some other matrix transformations from the space ℓ(B~,p) to the Euler, Riesz, difference, and so forth sequence spaces have been obtained by means of a given lemma.
The last section of the paper has been devoted to conclusion.
American Psychological Association (APA)
Nergiz, Havva& Başar, Feyzi. 2013. Domain of the Double Sequential Band Matrix B(r~,s~) in the Sequence Space ℓ(p)∗. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-510649
Modern Language Association (MLA)
Nergiz, Havva& Başar, Feyzi. Domain of the Double Sequential Band Matrix B(r~,s~) in the Sequence Space ℓ(p)∗. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-510649
American Medical Association (AMA)
Nergiz, Havva& Başar, Feyzi. Domain of the Double Sequential Band Matrix B(r~,s~) in the Sequence Space ℓ(p)∗. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-510649
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510649