J. M. Almira; U. Luther : Generalized Approximation Spaces and Applications

Author(s) :

J. M. Almira; U. Luther

Title :

Generalized Approximation Spaces and Applications

Electronic source :

[gzipped ps-file] 177 kB

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2000-17, 2000

Mathematics Subject Classification :

41A65 [ Abstract approximation theory ]

Abstract :

In the paper we generalize the theory of classical approximation spaces to a much wider class of spaces which are defined with the help of best approximation errors. We also give some applications. For example, we show that generalized approximation spaces can bei used to find natural (in some sense) domains of definition of unbounded operators.

Keywords :

Approximation spaces, Besov spaces, Embedding theorems, Extension of unbounded operators, Representation theorem

Language :

english

Publication time :

12/2000