Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 2

Notions of Projective Bounded Sets in Sequence Spaces

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]

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.

Keywords

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