MATRIX TRANSFORMATIONS BETWEEN CERTAIN NEW SEQUENCE SPACES OVER ULTRAMETRIC FIELDS

Abstract

Abstract. Throughout the present paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Sequences, infinite series and infinite matrices have their entries in K. The sequence spaces m^λ,c^λ,c₀^λ
were introduced in K earlier by the author in [5, 6, 7] and some studies were made. The purpose of the present paper is to characterize the matrix classes (c₀^λ, c₀^µ),(c₀^λ,m^µ),(c₀^λ,c^µ) and (c^λ,c₀^µ).