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Title: On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces (English)
Author: Abts, Dietmar
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 21
Issue: 3
Year: 1980
Pages: 513-525
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Category: math
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MSC: 28A05
MSC: 46G20
MSC: 47H09
MSC: 58B15
idZBL: Zbl 0437.46036
idMR: MR590131
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Date available: 2008-06-05T21:05:30Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106017
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Reference: [1] D. ABTS: Abbildungs-, Fixpunkt- und Verzweigungseigenschaften holomorpher Funktionen in topologischen Vektorräumen.Dissertation, RWTH Aachen (1979). Zbl 0472.47035
Reference: [2] J. BOCHNAK J. SICIAK: Polynomials and multilinear mappings in topological vector spaces.Studia Math. 39 (1971), 59-76. MR 0313810
Reference: [3] J. BOCHNAK J. SICIAK: Analytic functions in topological vector spaces.Studia Math. 39 (1971), 77-112. MR 0313811
Reference: [4] C. CARATHÉODORY: Über die Abbildungen, die durch Systeme von analytischen Funktionen von mehreren Veränderlichen erzeugt werden.Math. Z. 34 (1932), 758-792. MR 1545283
Reference: [5] K. DIEDERICH R. REMMERT: Funktionentheorie I.Heidelberger Taschenbücher, Springer-Verlag (1972). MR 0753290
Reference: [6] J. DIEUDONNÉ: Foundations of Modern Analysis.Academic Press (1960). MR 0120319
Reference: [7] G. EISENACK C. FENSKE: Fixpunkttheorie.Bibliographisches Institut Mannheim, Wien, Zurich (1978). MR 0516947
Reference: [8] E. HILLE R. S. PHILLIPS: Functional Analysis and Semigroups.Amer. Math. Soc, Colloq. Publ., Vol. 31, Providence (1957). MR 0089373
Reference: [9] F. HIRZEBRUCH W. SCHARLAU: Einführung in die Funktionalanalysis.Bibliographisches Institut Mannheim, Wien, Zurich (1971). MR 0463864
Reference: [10] T. KATO: Perturbation Theory of Linear Operators.Springer-Verlag (1966). MR 0203473
Reference: [11] R. NARASIMHAN: Several Complex Variables.Chicago Lectures in Math. (1971). Zbl 0223.32001, MR 0342725
Reference: [12] R. D. NUSSBAUM: The fixed point index for local condensing maps.Annali di Mat. Pura Appl. 89, 217-258 (1971). Zbl 0226.47031, MR 0312341
Reference: [13] T. J. SUFFRIDGE: A holomorphic function having a discontinuous inverse.Proc. of the Amer. Math. Soc. 31 (1972), 629-630. Zbl 0231.58006, MR 0284813
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