# Compactness in approximation spaces

Colloquium Mathematicae (1994)

- Volume: 67, Issue: 2, page 253-262
- ISSN: 0010-1354

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topFugarolas, M.. "Compactness in approximation spaces." Colloquium Mathematicae 67.2 (1994): 253-262. <http://eudml.org/doc/210278>.

@article{Fugarolas1994,

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.},

author = {Fugarolas, M.},

journal = {Colloquium Mathematicae},

language = {eng},

number = {2},

pages = {253-262},

title = {Compactness in approximation spaces},

url = {http://eudml.org/doc/210278},

volume = {67},

year = {1994},

}

TY - JOUR

AU - Fugarolas, M.

TI - Compactness in approximation spaces

JO - Colloquium Mathematicae

PY - 1994

VL - 67

IS - 2

SP - 253

EP - 262

AB - 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.

LA - eng

UR - http://eudml.org/doc/210278

ER -

## References

top- [1] Z. Ciesielski, Constructive function theory and spline systems, Studia Math. 53 (1975), 277-302. Zbl0273.41010
- [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. Zbl0328.41008
- [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.

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