On Hilbert \(I\)-convergent sequence spaces
Volume 20, Issue 3, pp 225--233
http://dx.doi.org/10.22436/jmcs.020.03.05
Publication Date: December 11, 2019
Submission Date: April 16, 2019
Revision Date: October 11, 2019
Accteptance Date: October 31, 2019
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Authors
Vakeel A. Khan
- Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India.
Kamal M. A. S. Alshlool
- Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India.
Masood Alam
- Department of Mathematics and IT Center for Preparatory Studies, Sultan Qaboos University, P. O. Box 162-PC, 123 Al Khoud Muscat, Sultanate of Oman.
Abstract
In this paper, we define some new sequence spaces \(c^{I}_{0}(H)\), \(c^{I}(H)\), \(\ell^{I}_{\infty}(H)\), and \(\ell_{\infty}(H)\) as a domain of triangle Hilbert matrix and study some topological and algebraic properties of these spaces. Further, we study some inclusion relations concerning these spaces.
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ISRP Style
Vakeel A. Khan, Kamal M. A. S. Alshlool, Masood Alam, On Hilbert \(I\)-convergent sequence spaces, Journal of Mathematics and Computer Science, 20 (2020), no. 3, 225--233
AMA Style
Khan Vakeel A., Alshlool Kamal M. A. S., Alam Masood, On Hilbert \(I\)-convergent sequence spaces. J Math Comput SCI-JM. (2020); 20(3):225--233
Chicago/Turabian Style
Khan, Vakeel A., Alshlool, Kamal M. A. S., Alam, Masood. "On Hilbert \(I\)-convergent sequence spaces." Journal of Mathematics and Computer Science, 20, no. 3 (2020): 225--233
Keywords
- Hilbert matrix
- Hilbert \(I\)-convergence
- Hilbert \(I\)-Cauchy
- Hilbert \(I\)-bounded
MSC
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