Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1995-09-30
A Generalized Topological Degree in Admissible Linear SpacesT. Okon (1) Technische Universität Dresden, Germany
The paper deals with the construction of a degree which extends the Generalized Topological Degree of Browder and Petryshyn to admissible linear spaces introducing the notion of approximation nets and approximation-compact maps. After discussing the usual properties of a degree the relationship between approximation compactness and the concept of condensing maps is analysed.
Keywords: Admissible spaces, topological degree, condensing maps
Okon T.: A Generalized Topological Degree in Admissible Linear Spaces. Z. Anal. Anwend. 14 (1995), 469-496. doi: 10.4171/ZAA/634