On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces

Dietmar Abts

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 3, page 513-525
  • ISSN: 0010-2628

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Abts, Dietmar. "On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces." Commentationes Mathematicae Universitatis Carolinae 021.3 (1980): 513-525. <http://eudml.org/doc/17054>.

@article{Abts1980,
author = {Abts, Dietmar},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {injective holomorphic Fredholm mappings of index 0; analytic set; measure of non-compactness; strict set contraction},
language = {eng},
number = {3},
pages = {513-525},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces},
url = {http://eudml.org/doc/17054},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Abts, Dietmar
TI - On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 3
SP - 513
EP - 525
LA - eng
KW - injective holomorphic Fredholm mappings of index 0; analytic set; measure of non-compactness; strict set contraction
UR - http://eudml.org/doc/17054
ER -

References

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  1. D. ABTS, Abbildungs-, Fixpunkt- und Verzweigungseigenschaften holomorpher Funktionen in topologischen Vektorräumen, Dissertation, RWTH Aachen (1979). (1979) Zbl0472.47035
  2. J. BOCHNAK J. SICIAK, Polynomials and multilinear mappings in topological vector spaces, Studia Math. 39 (1971), 59-76. (1971) MR0313810
  3. J. BOCHNAK J. SICIAK, Analytic functions in topological vector spaces, Studia Math. 39 (1971), 77-112. (1971) MR0313811
  4. C. CARATHÉODORY, Über die Abbildungen, die durch Systeme von analytischen Funktionen von mehreren Veränderlichen erzeugt werden, Math. Z. 34 (1932), 758-792. (1932) MR1545283
  5. K. DIEDERICH R. REMMERT, Funktionentheorie I, Heidelberger Taschenbücher, Springer-Verlag (1972). (1972) MR0753290
  6. J. DIEUDONNÉ, Foundations of Modern Analysis, Academic Press (1960). (1960) MR0120319
  7. G. EISENACK C. FENSKE, Fixpunkttheorie, Bibliographisches Institut Mannheim, Wien, Zurich (1978). (1978) MR0516947
  8. E. HILLE R. S. PHILLIPS, Functional Analysis and Semigroups, Amer. Math. Soc, Colloq. Publ., Vol. 31, Providence (1957). (1957) MR0089373
  9. F. HIRZEBRUCH W. SCHARLAU, Einführung in die Funktionalanalysis, Bibliographisches Institut Mannheim, Wien, Zurich (1971). (1971) MR0463864
  10. T. KATO, Perturbation Theory of Linear Operators, Springer-Verlag (1966). (1966) MR0203473
  11. R. NARASIMHAN, Several Complex Variables, Chicago Lectures in Math. (1971). (1971) Zbl0223.32001MR0342725
  12. R. D. NUSSBAUM, The fixed point index for local condensing maps, Annali di Mat. Pura Appl. 89, 217-258 (1971). (1971) Zbl0226.47031MR0312341
  13. T. J. SUFFRIDGE, A holomorphic function having a discontinuous inverse, Proc. of the Amer. Math. Soc. 31 (1972), 629-630. (1972) Zbl0231.58006MR0284813

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