Matrix transformations of some sequence spaces—II

Abstract

This paper is a continuation of [1]. We begin with the notations for the sequence spaces considered in this paper. Let Γ be the space of sequences x = {xp} of complex numbers such that |xp|1/p⃗0 as p⃗∞. Γ can also be regarded as the space of integral functions f(z) = . The sequence space Γ is a vector space over the complex numbers with seminorms

A study of certain sequence spaces of Maddox and a generalization of a theorem of Iyer

“…T%e following statements are equivalent: In the second part of this paper we characterize certain classes of matrix transformations and we show that certain theorems proved by K. Ch. Rao (see [9]) are particular cases of our theorems.…”

Matrix representations for linear transformations on analytic sequences

“…The matrix transformations from g 7 to ^ have been characterized by H. I. Brown [1] and, in another manner, by K. Chandrasekhara Rao [2].…”