Topological degree of non-compact mappings

Author:

Taylor J. G.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Rotation of Vector Fields: Definition, Basic Properties, and Calculation;Topological Nonlinear Analysis II;1997

2. On the problem of existence of quantum field theory;Journal of Mathematical Physics;1979-08

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