Banach Space X-Valued Bilateral Sequence Space I ( z, x, y, p)

Riti Agrawal *

M. M. M. Engineering College Gorakhpur, (U.P.) India, 273010

J. K. Srivastava

D. D. U. Gorakhpur University Gorakhpur, (U.P.) India, 273009

*Author to whom correspondence should be addressed.


Abstract

Aims/ objectives:
In this paper we introduce and study vector–valued bilateral sequence space 72.PNG we investigate the conditions connected with the comparison of the classes in terms of 82.PNG so that a class is contained in or equal to another class of same kind. We also study topological linear structure of this space when this space is topolized by a suitable paranorm.


Keywords: Bilateral Sequence, Sequence Space and Paranormed space


How to Cite

Agrawal, Riti, and J. K. Srivastava. 2013. “Banach Space X-Valued Bilateral Sequence Space I ( Z, X, Y, P)”. Journal of Advances in Mathematics and Computer Science 3 (1):44-51. https://doi.org/10.9734/BJMCS/2013/2162.

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