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Topological degree of non-compact mappings
Published online by Cambridge University Press: 24 October 2008
Abstract
We extend the notion of topological degree to a suitable class of continuous mappings of a locally convex Hausdorff topological vector space into itself which are not completely continuous. This extension and the resulting existence theorems for non-linear equations are further extended to product spaces. Our extension is developed with application to quantum field theory in mind; this application is made elsewhere.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 335 - 347
- Copyright
- Copyright © Cambridge Philosophical Society 1967
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