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

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

Abstrakty

EN

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.

Słowa kluczowe

EN

ultrametric field; 4-dimensional matrices; double sequences; regular matrices; Schur's theorem; Steinhaus theorem

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2011
• Tom: Vol. 51, [Z] 2
• Strony: 203--209
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Natarajan P.N.

• Old No. 2/3, New No. 3/3, Second Main Road, R.A. Puram, Chennai 600 028, India,

Bibliografia

• [1] P.N. Natarajan, The Steinhaus theorem for Toeplitz matrices in non-archimedean fields, Comment. Math. Prace Mat. 20 (1978), 417-422.
• [2] P.N. Natarajan and V. Srinivasan, Silverman-Toeplitz theorem for double sequences and series in non-archimedean fields, Ann. Math. Blaise Pascal, 9 (2002), 85-100