SOME BANACH SEQUENCE SPACES

Authors : Sudarsan NANDA

Pages : 0-0

Doi:10.1501/Commua1_0000000239

View : 18 | Download : 6

Publication Date : 1985-01-01

Article Type : Research Paper

Abstract :1. Let E denote a Banacb space över the fieîd of real or conıplex numbers. The spaces Coinsert ignore into journalissuearticles values(E);, cinsert ignore into journalissuearticles values(E);, t.pinsert ignore into journalissuearticles values(E); and looinsert ignore into journalissuearticles values(E); of sequences in E have been discussed by Boas [1], Day [2], Leonard [9], Maddox [11] and some others. Lorentz [10] introduced the space c cf aîmost convergent sequen- ces of real or complex numbers. Subsequently almost cf nvergent scqu- ences have been discussed by Duran [5], Kiug [6], Nanda [14, 15] and some others. The space c insert ignore into journalissuearticles values(E); of almost convergent sequenees in E has been discussed by Kurtz [7, 8]. More recently some new sequence spaces. ■vvhich. are denoted by tp and î P> space `ip of sequences of real or absolute analogue, just as have been introduced in [3] and [4], The complex numbers emerged from c as iîs ip emerged from tîıe concept of convergence.
Keywords : BANACH, SEQUENCE SPACES, Statistics