The Schur and Steinhaus Theorems for 4-Dimensional Infinite Matrices

• Autorzy: Natarajan P. N.

Identyfikatory

DOI

10.14708/cm.v54i2.698

• Języki publikacji: EN

Abstrakty

EN

This paper is a sequel to [2]. Throughout this paper, entries of double sequences, double series and 4-dimensional infinite matrices are real or complex numbers. We prove the Schur and Steinhaus theorems for 4-dimensional infinite matrices.

Słowa kluczowe

EN

4-dimensional infinite matrices; double sequences; double series; regular matrix; Schur's theorem; Steinhaus theorem

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 2
• Strony: 159--165
• 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] G.H. Hardy, Divergent Series, Oxford, 1949.
• [2] P.N. Natarajan, A new definition of convergence of a double sequence and a double series and Silverman-Teoplitz theorem, Comment Math.Prace Mat. 54 (2014), 129-139.