Some Characterizations of Schur Matrices in Ultrametric Fields

P. N. Natarajan. "Some Characterizations of Schur Matrices in Ultrametric Fields." Commentationes Mathematicae 52.2 (2012): null. <http://eudml.org/doc/291757>.

@article{P2012,
abstract = {In this short paper, $K$ denotes a complete, non-trivially valued, ultrametric field. Sequences and infinite matrices have entries in K. We prove a few characterizations of Schur matrices in $K$. We then deduce some non-inclusion theorems modelled on the results of Agnew [1] and Fridy [3] in the classical case.},
author = {P. N. Natarajan},
journal = {Commentationes Mathematicae},
keywords = {Ultrametric field; Regular matrix; Schur matrix; Non-inclusion theorem; Steinhaus theorem},
language = {eng},
number = {2},
pages = {null},
title = {Some Characterizations of Schur Matrices in Ultrametric Fields},
url = {http://eudml.org/doc/291757},
volume = {52},
year = {2012},
}

TY - JOUR
AU - P. N. Natarajan
TI - Some Characterizations of Schur Matrices in Ultrametric Fields
JO - Commentationes Mathematicae
PY - 2012
VL - 52
IS - 2
SP - null
AB - In this short paper, $K$ denotes a complete, non-trivially valued, ultrametric field. Sequences and infinite matrices have entries in K. We prove a few characterizations of Schur matrices in $K$. We then deduce some non-inclusion theorems modelled on the results of Agnew [1] and Fridy [3] in the classical case.
LA - eng
KW - Ultrametric field; Regular matrix; Schur matrix; Non-inclusion theorem; Steinhaus theorem
UR - http://eudml.org/doc/291757
ER -