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 mλ,cλ,c0λ
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 (c0λ, c0µ),(c0λ,mµ),(c0λ,cµ) and (cλ,c0µ).
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 (c0λ, c0µ),(c0λ,mµ),(c0λ,cµ) and (cλ,c0µ).
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