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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2017, Volume : 36e, Issue : 2
First page : ( 197) Last page : ( 201)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.
Article DOI : 10.5958/2320-3226.2017.00021.2

Notions of Projective Bounded Sets in Sequence Spaces

Dr. Prasad Kusheshwar*

Department of Mathematics, Jai Govind Inter College, Dighwara (Saran), Chapra, Bihar-841207, India. E-mail: drkusheshwarprasad@gmail.com

*Corresponding Author: Dr. Kusheshwar Prasad, Department of Mathematics, Jai Govind Inter College, Dighwara (Saran), Chapra, Bihar-841207, India. E-mail: drkusheshwarprasad@gmail.com

AMS classification No .. [46A45]

Online published on 16 January, 2018.

Abstract

In this article we generalise some notions in the context of “Infinite Matrices and sequence spaces ”by Dr. R.G. Cooke [3], such as projective bounded sets. Examples are included to illustrate the theoretical results. In particular our purpose is to generalise some Lemma on projective bounded sets.

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Keywords

Projective bounded sets, the smallest sequence space, P-convergence, P-limit, Cconvergence.

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