On The Matrix Classes (c0, c0) and (c0, c) Over Complete Ultrametric Fields

Natarajan PN

Published on: 2023-02-15

Abstract

Throughout this paper, K denotes a complete, non-trivially valued, ultra metric (or nonarchimedean) field. Sequences, infinite series and infinite matrices have entries in K. In this paper,
we record some nice properties of the matrix classes(????0, ????0) and (????0, ????).

Keywords

Ultra metric (or non-archimedean) field; Matrix class; Convolution product ?; Banach algebra; ?-matrix

Introduction

Throughout the present paper, K denotes a complete, nontrivially valued, ultra metric (or non-archimedean) field. Sequences, infinite series and infinite matrices have entries in K. General references for analysis in ultrametric fields are [1,5, 6]. The following results are well-known.