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
