Differentiable and Lipschitzian mappings of Banach spaces-Reference-Cited by-同舟云学术

Differentiable and Lipschitzian mappings of Banach spaces

Published:1988-11 Issue:5 Volume:44 Page:790-798
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Bogachev V. I.,Shkarin S. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01158417.pdf

Reference19 articles.

1. D. Preiss, ?Gâteaux-differentiable functions are somewhere Fréchet differentiable,? Rend. Circ. Mat. Palermo (2),33, No. 1, 122?133 (1984).

2. D. Preiss, ?Gâteaux-differentiable Lipschitz functions need not be Fréchet differentiable on a residual set,? Supplemento Rend. Circ. Mat. Palermo (2), No. 2, 217?222 (1982).

3. V. I. Averbukh and O. G. Smolyanov, ?Different definitions of the derivative in linear topological spaces,? Usp. Mat. Nauk,23, No. 4, 67?116 (1968).

4. V. I. Averbukh, O. G. Smolyanov, and S. V. Fomin, ?Generalized functions and differential equations in linear spaces,? Trudy MMO,24, 132?174 (1971).

5. J. L. Kelley, General Topology, Van Nostrand, Princeton, N.J. (1955).

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