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 we investigate the conditions connected with the comparison of the classes in terms of
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