A THEOREM ON SUMMABILITY FACTORS FOR THE WEIGHTED MEAN METHOD FOR DOUBLE SERIES IN ULTRAMETRIC FIELDS

抄録

Throughout this paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. 4-dimensional infinite matrices, double sequences and double series have entries in K. In the present paper, we prove a theorem on summability factors for the Weighted mean method for double series in K.