G.Fleischer : Multiplication operators and its ill-posedness properties

Author(s) :

G.Fleischer

Title :

Multiplication operators and its ill-posedness properties

Electronic source :

[gzipped dvi-file] 37 kB
[gzipped ps-file] 74 kB

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 97-26, 1997

Mathematics Subject Classification :

47B38 [ Operators on function spaces ]

65J20 [ Improperly posed problems (numerical methods in abstract spaces) ]

Abstract :

This paper deals with the characterization of multiplication operators, especially with its behavior in the ill-posed case. We want to classify the different types and degrees of ill-posedness. We give some connections between this classification and regularization methods.

Keywords :

ill-posed, multiplication operator

Language :

english

Publication time :

11/1997