Displaying similar documents to “The Compact Approximation Property does not imply the Approximation Property”

Compactness in approximation spaces

M. Fugarolas (1994)

Colloquium Mathematicae

Similarity:

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.

Property (wM*) and the unconditional metric compact approximation property

Ăsvald Lima (1995)

Studia Mathematica

Similarity:

The main objective of this paper is to give a simple proof for a larger class of spaces of the following theorem of Kalton and Werner. (a) X has property (M*), and (b) X has the metric compact approximation property Our main tool is a new property (wM*) which we show to be closely related to the unconditional metric approximation property.

Approximation on the sphere by Besov analytic functions

Evgueni Doubtsov (1997)

Studia Mathematica

Similarity:

Boundary values of zero-smooth Besov analytic functions in the unit ball of ℂ n are investigated. Bounded Besov functions with prescribed lower semicontinuous modulus are constructed. Correction theorems for continuous Besov functions are proved. An approximation problem on great circles is studied.