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 |
. |
Category:
|
math |
. |
MSC:
|
28A05 |
MSC:
|
46G20 |
MSC:
|
47H09 |
MSC:
|
58B15 |
idZBL:
|
Zbl 0437.46036 |
idMR:
|
MR590131 |
. |
Date available:
|
2008-06-05T21:05:30Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106017 |
. |
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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