Book Review
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MathSciNet review:
1567640
Full text of review:
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Book Information:
Author:
E. H. Rothe
Title:
Introduction to various aspects of degree theory in Banach spaces
Additional book information:
Mathematical Surveys and Monographs, vol. 23, Amer. Math. Soc., 1986, vi + 242 pp., $60.00. ISBN 0-8218-1522-9.
1. P. Alexandroff and H. Hopf, Topologie, Springer-Verlag, Berlin and New York, 1935.
Stefan Banach, Théorie des opérations linéaires, Chelsea Publishing Co., New York, 1955 (French). MR 0071726
Klaus Deimling, Nonlinear functional analysis, Springer-Verlag, Berlin, 1985. MR 787404, DOI 10.1007/978-3-662-00547-7
Jean Leray and Jules Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 51 (1934), 45–78 (French). MR 1509338
Erich Rothe, Über Abbildungsklassen von Kugeln des Hilbertschen Raumes, Compositio Math. 4 (1937), 294–307 (German). MR 1556976
Erich H. Rothe, Mapping degree in Banach spaces and spectral theory, Math. Z. 63 (1955), 195–218. MR 74790, DOI 10.1007/BF01187933
- 1.
- P. Alexandroff and H. Hopf, Topologie, Springer-Verlag, Berlin and New York, 1935.
- 2.
- S. Banach, Théorie des opérations linéaires, Warszawa, 1932 (reprint by Chelsea Publ. Company, New York, 1963). MR 0071726
- 3.
- K. Deimling, Nonlinear functional analysis, Springer-Verlag, New York, 1985. MR 787404
- 4.
- J. Leray and J. Schauder, Topologie et équations fonctionelles, Ann. Sci. École Norm. Sup. 51 (1934), 45-78. MR 1509338
- 5.
- E. H. Rothe, Über Abbildungsklassen von Kugeln des Hilbertschen Raumes, Compositio Math. 4 (1937), 294-307. MR 1556976
- 6.
- E. H. Rothe, Mapping degree in Banach spaces and spectral theory, Math. Z. 63 (1955), 195-218. MR 74790
Review Information:
Reviewer:
Klaus Deimling
Journal:
Bull. Amer. Math. Soc.
17 (1987), 340-343
DOI:
https://doi.org/10.1090/S0273-0979-1987-15585-6