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

P.N. Natarajan. "The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields." Commentationes Mathematicae 51.2 (2011): null. <http://eudml.org/doc/291875>.

@article{P2011,
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.},
author = {P.N. Natarajan},
journal = {Commentationes Mathematicae},
keywords = {Ultrametric field; 4-dimensional matrices; Double sequences; Regular matrices; Schur’s theorem; Steinhaus theorem},
language = {eng},
number = {2},
pages = {null},
title = {The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields},
url = {http://eudml.org/doc/291875},
volume = {51},
year = {2011},
}

TY - JOUR
AU - P.N. Natarajan
TI - The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields
JO - Commentationes Mathematicae
PY - 2011
VL - 51
IS - 2
SP - null
AB - 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.
LA - eng
KW - Ultrametric field; 4-dimensional matrices; Double sequences; Regular matrices; Schur’s theorem; Steinhaus theorem
UR - http://eudml.org/doc/291875
ER -