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Book Review
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Book Information
Author(s):
Melvyn S. Berger
Title:
Nonlinearity and functional analysis
Additional book information:
Academic Press, New York, San Francisco, London, 1977, xix + 415 pp., $24.50
References:
- 1.
- G. D. Birkhoff, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc. 18 (1917), 199-300. MR 1501070
- 2.
- G. D. Birkhoff and O. D. Kellogg, Invariant points in function space, Trans. Amer. Math. Soc. 23 (1922), 96-115. MR 1501192
- 3.
- S. Banach, Sur les opérations dans les ensembles abstraits et leurs applications aux équations integralés, Fund. Math. 3 (1922), 133-181.
- 4.
- J. Leray and J. Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. 51 (1934), 45-78. MR 1509338
- 5.
- V. I. Lomonosov, Invariant subspaces for the family of operators which commute with a completely continuous operator, Functional Anal. Appl. 8 (1973), 213-214.
- 6.
- L. Lyusternik, The topology of the calculus of variations in the large, Transl. Math. Monographs, vol. 16, Amer. Math. Soc., Providence, R.I., 1966. MR 217817
- 7.
- M. Morse, The calculus of variations in the large, Amer. Math. Soc. Colloq. Publ., no. 18, Amer. Math. Soc., Providence, R.I., 1934. MR 1451874
- 8.
- J. Schauder, Der Fixpunktsatz in Funktionalräumen, Studia Math. 2 (1930), 171-180.
Additional Information:
Reviewer(s):
P. M.
Fitzpatrick
Review Information:
Journal:
Bull. Amer. Math. Soc.
1
(1979),
210-217.
DOI:
10.1090/S0273-0979-1979-14557-9
PII:
S 0273-0979(1979)14557-9
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