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On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences
Joint Authors
Başar, Feyzi
Yeşilkayagil, Medine
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The main purpose of this paper is to determine the fine spectrum with respect to Goldberg's classification of the operator defined by the lambda matrix over the sequence spaces c0 and c.
As a new development, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator Λ on the sequence spaces c0 and c.
Finally, we present a Mercerian theorem.
Since the matrix Λ is reduced to a regular matrix depending on the choice of the sequence (λk) having certain properties and its spectrum is firstly investigated, our work is new and the results are comprehensive.
American Psychological Association (APA)
Yeşilkayagil, Medine& Başar, Feyzi. 2013. On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-490642
Modern Language Association (MLA)
Yeşilkayagil, Medine& Başar, Feyzi. On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-490642
American Medical Association (AMA)
Yeşilkayagil, Medine& Başar, Feyzi. On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-490642
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490642