On the Spectral Properties of the Weighted Mean Difference Operator Gu,v;Δ over the Sequence Space ℓ1
Joint Authors
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In the present work the generalized weighted mean difference operator Gu,v;Δ has been introduced by combining the generalized weighted mean and difference operator under certain special cases of sequences u=(uk) and v=(vk).
For any two sequences u and v of either constant or strictly decreasing real numbers satisfying certain conditions the difference operator Gu,v;Δ is defined by (G(u,v;Δ)x)k=∑i=0kukvi(xi-xi-1) with xk=0 for all k<0.
Furthermore, we compute the spectrum and the fine spectrum of the operator Gu,v;Δ over the sequence space l1.
In fact, we determine the spectrum, the point spectrum, the residual spectrum, and the continuous spectrum of this operator on the sequence space l1.
American Psychological Association (APA)
Baliarsingh, P.& Dutta, S.. 2014. On the Spectral Properties of the Weighted Mean Difference Operator Gu,v;Δ over the Sequence Space ℓ1. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498012
Modern Language Association (MLA)
Baliarsingh, P.& Dutta, S.. On the Spectral Properties of the Weighted Mean Difference Operator Gu,v;Δ over the Sequence Space ℓ1. International Journal of Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-498012
American Medical Association (AMA)
Baliarsingh, P.& Dutta, S.. On the Spectral Properties of the Weighted Mean Difference Operator Gu,v;Δ over the Sequence Space ℓ1. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498012
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498012