Abstract
We give a short (analytical) presentation of Brouwer’s theory of the topological degree of continuous mappings in finite dimensional Banach spaces and a generalization of it to A proper mappings in Banach spaces. The connection with the Leray-Schauder degree is commented and some applications to the topological degree of normalized duality mappings are made.
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© 1990 Kluwer Academic Publishers
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Cioranescu, I. (1990). On the Topological Degree in Finite and Infinite Dimensions. In: Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems. Mathematics and Its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2121-4_4
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DOI: https://doi.org/10.1007/978-94-009-2121-4_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7454-4
Online ISBN: 978-94-009-2121-4
eBook Packages: Springer Book Archive