ArticleOriginal scientific text
Title
Compactness in approximation spaces
Authors 1
Affiliations
- Universidad de Santiago de Compostela, Facultad de Matematicas, Departamento de Analisis Matematico, Campus Universitario S/N, 15706 Santiago de Compostela, Spain
Abstract
In this paper we give a characterization of the relatively compact subsets of the so-called approximation spaces. We treat some applications: (1) we obtain some convergence results in such spaces, and (2) we establish a condition for relative compactness of a set lying in a Besov space.
Bibliography
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- S. Ropela, Spline bases in Besov spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), 319-325.
- B. Simon, Trace Ideals and Their Applications, London Math. Soc. Lecture Note Ser. 35, Cambridge Univ. Press, Cambridge, 1979.
- I. Singer, Bases in Banach Spaces I, Springer, Berlin, 1970.
Pages:
253-262
Main language of publication
English
Received
1993-11-03
Published
1994
Exact and natural sciences