The First International School "Functional Analysis, Differential Equations and Their Application" Puebla (Mexico), May 18--23, 1995

The $R_F$-convergence and theorems of Banach Steinhauss type

J. L. Fernandez Muniz, L. Alvarez Marin

Benemérita Universidad Autónoma de Puebla

Abstract: 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.

UDC: 517.98

Received: 01.04.1996

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