ArticleOriginal scientific text
Title
The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields
Authors
Abstract
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.
Keywords
Ultrametric field, 4-dimensional matrices, Double sequences, Regular matrices, Schur’s theorem, Steinhaus theorem
Main language of publication
English
Published
2011
Published online
2017-12-19
Exact and natural sciences