Geodesic
Some Characterizations of Schur Matrices in Ultrametric Fields
Commentationes Mathematicae, Tome 52 (2012) no. 2, pp. 137-142.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v52i2.5332
Mots-clés : Ultrametric field, Regular matrix, Schur matrix, Non-inclusion theorem, Steinhaus theorem 
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P. N. Natarajan. Some Characterizations of Schur Matrices in Ultrametric Fields. Commentationes Mathematicae, Tome 52 (2012) no. 2, pp.  137-142. doi : 10.14708/cm.v52i2.5332. http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i2.5332/

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