Some Characterizations of Schur Matrices in Ultrametric Fields

• Autorzy: P. N. Natarajan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Ultrametric field; Regular matrix; Schur matrix; Non-inclusion theorem; Steinhaus theorem

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2012
• Tom: 52
• Numer: 2

Daty

wydano

2012

online

2017-12-19

Twórcy

autor

P. N. Natarajan

Identyfikatory

DOI

10.14708/cm.v52i2.5332