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The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields

Natarajan P.N.

Commentationes Mathematicae

2011

Vol. 51, [Z] 2

203-209

Throughout this paper, K denotes a ds-complete, non-trivially valued, ultrametric field. Entries of double sequences, double series and 4-dimensional matrices are in K. We prove the Schur and Steinhaus theorems for 4-dimensional matrices in such fields.

Infinite matrices and σ-core

Çoşkun H., Cakan C.

Demonstratio Mathematica

2001

Vol. 34, nr 4

825-830

The object of this paper is to obtain the necessary and sufficient conditions characterizing the class (V, Va)reg of infinite matrices and to determine a class of (V,Va)reg- matrices for which qa(Ax) <: q(x) for all należy do m.