FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 1, PAGES 47-67

The $R$_F-convergence and theorems of Banach Steinhauss type

J. L. Fernández Muñiz
Luz del Carmen Alvarez Marín

Abstract

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The concepts of $R$_F-convergence in the space of real (or complex) functions over a Hausdorff topological space and of Riemann integrable functions without using the Riemann integral are given. Some properties of $R$_F-convergence and theorems of Banach Steinhauss type have been proved.

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Last modified: November 16, 1999