Zeitschrift für Analysis und ihre Anwendungen 23 (2004), No. 4, 721--730
Copyright Heldermann Verlag 2004
Uniform Convergence in Topological Groups
Antonio Aizpuru
Dep. de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Spain
antonio.aizpuru@uca.es
Antonio Gutiérrez Dávila
Dep. de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Spain
antonio.gutierrez@uca.es
We improve the Basic Matrix Theorem of Antosik-Swartz in the framework of topological groups. We also obtain an equivalent form of this generalization, which improves the Uniform Convergence Principle of Qu Wenbo and Wu Junde in Proc. Amer. Math. Soc. 130 (2002) 3283--3285.
Keywords: Topological groups, summability, uniform convergence.
MSC: 40C05