Compactness in approximation spaces

• Autorzy: M. A. Fugarolas
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 2
• Strony: 253-262

Daty

wydano

1994

otrzymano

1993-11-03

Twórcy

autor

M. A. Fugarolas

• Universidad de Santiago de Compostela, Facultad de Matematicas, Departamento de Analisis Matematico, Campus Universitario S/N, 15706 Santiago de Compostela, Spain

Bibliografia

• [1] Z. Ciesielski, Constructive function theory and spline systems, Studia Math. 53 (1975), 277-302.
• [2] A. Pietsch, Approximation spaces, J. Approx. Theory 32 (1981), 115-134.
• [3] S. Ropela, Spline bases in Besov spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), 319-325.
• [4] B. Simon, Trace Ideals and Their Applications, London Math. Soc. Lecture Note Ser. 35, Cambridge Univ. Press, Cambridge, 1979.
• [5] I. Singer, Bases in Banach Spaces I, Springer, Berlin, 1970.