ORDINARY, ABSOLUTE AND STRONG SUMMABILITY AND MATRIX TRANSFORMATIONS

By A. M. Jarrah, Eberhard Malkowsky. 2003

115 citations recorded by the source corpus.

Many important sequence spaces arise in a natural way from various concepts of summability, namely ordinary, absolute and strong summability. In the rst two cases they may be considered as the domains of the matrices that dene the respective methods of summability; the situation, however, is dieren t and more complicated in the case of strong summa- bility. Given sequence spaces X and Y , we nd necessary and suf- cien t conditions for the entries of a matrix to map X into Y , and characterize the subclass of those matrices that are com- pact operators. This paper gives a survey of recent research in the eld of matrix transformations at the University of Ni s, Serbia and Montenegro, in the past four years.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/3ac11c9238b564a642b1c15fde8b5b8f8c8c9bfc