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Fundamentalnaya i Prikladnaya Matematika, 1997, Volume 3, Issue 1, Pages 47–67 (Mi fpm210)  

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.
Received: 01.04.1996
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: J. L. Fernandez Muniz, L. Alvarez Marin, “The $R_F$-convergence and theorems of Banach Steinhauss type”, Fundam. Prikl. Mat., 3:1 (1997), 47–67
Citation in format AMSBIB
\Bibitem{FerAlv97}
\by J.~L.~Fernandez Muniz, L.~Alvarez Marin
\paper The $R_F$-convergence and theorems of Banach Steinhauss type
\jour Fundam. Prikl. Mat.
\yr 1997
\vol 3
\issue 1
\pages 47--67
\mathnet{http://mi.mathnet.ru/fpm210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1803609}
\zmath{https://zbmath.org/?q=an:0903.41009}
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