The Morse lemma on arbitrary Banach spaces
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- by A. J. Tromba PDF
- Bull. Amer. Math. Soc. 79 (1973), 85-86
References
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- Richard S. Palais, Morse theory on Hilbert manifolds, Topology 2 (1963), 299–340. MR 158410, DOI 10.1016/0040-9383(63)90013-2
- Richard S. Palais, The Morse lemma for Banach spaces, Bull. Amer. Math. Soc. 75 (1969), 968–971. MR 253378, DOI 10.1090/S0002-9904-1969-12318-9
- A. J. Tromba, The Morse lemma on Banach spaces, Proc. Amer. Math. Soc. 34 (1972), 396–402. MR 295395, DOI 10.1090/S0002-9939-1972-0295395-9
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Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 85-86
- MSC (1970): Primary 49F15, 58E05
- DOI: https://doi.org/10.1090/S0002-9904-1973-13104-0
- MathSciNet review: 0305437