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Sociedad Colombiana de Matemáticas:Publicaciones
Revista Colombiana de Matemáticas
Volumen 38 [1] (2004)Páginas 7 - 15

Weighted locally convex spaces of measurable functions

Johnson O. Olaleru
University of Lagos, Nigeria

Abstract. In this paper, we make a study of weighted locally convex spaces of measurable functions parallel to the studies of weighted locally convex spaces of continuous functions which has been a subject of intense research for decades. With Lp, 1 <= p < 1, spaces as our motivation, the completeness and inductive limits of those spaces are studied including their relationship with the weighted spaces of continuous functions leading to new results and generalizations of results true for Lp spaces.

Palabras claves. Locally convex spaces, weighted spaces, measurable functions, measure space.

Codigo AMS. 2000. Primary: 46A04. Secondary: 46E30.

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