A characterization for the limit points of double sequences

• Autorzy: Patterson R.
• Języki publikacji: EN

Abstrakty

EN

In 1944 R.P Agnew characterized limit points of single dimensional sequences by provIng the following: Let A be regular and let xn be a bounded complex sequence, then there exIsts a subsequence yn of xn such that the set Ly of limit points of the transform Yn of yn includes the set Lx of limit points of the sequence xn . In this paper we shall use the definition of Pringsheim limit points in [6] to present a multidimensional analogues of Agnew result in [1].

Słowa kluczowe

EN

divergent double sequences; subseqences of a double sequences; Pringsheim limit point; p-convergent; p-divergent; rh-regular

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 4
• Strony: 775--780
• Opis fizyczny: Bobliogr. 10 poz.

Twórcy

autor

Patterson R.

• Department of Mathematics and Statistics University of North Florida 4565 St. John's Bluff Rd. S. Jacksonville, Fl 32224 USA,