On the geometric characterization of differentiability. I.
Durdil, Jiří
Commentationes Mathematicae Universitatis Carolinae, Tome 015 (1974), p. 521-540 / Harvested from Czech Digital Mathematics Library
Publié le : 1974-01-01
Classification:  46G05,  47H99,  58C20
@article{105575,
     author = {Ji\v r\'\i\ Durdil},
     title = {On the geometric characterization of differentiability. I.},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {015},
     year = {1974},
     pages = {521-540},
     zbl = {0289.58004},
     mrnumber = {0426019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105575}
}
Durdil, Jiří. On the geometric characterization of differentiability. I.. Commentationes Mathematicae Universitatis Carolinae, Tome 015 (1974) pp. 521-540. http://gdmltest.u-ga.fr/item/105575/

M. S. Bazaraa J. J. Goode M. Z. Nashed On the cones of tangents with applications to mathematical programming, J. Opt. Th. Appl. 13 (1974), 369-426. (1974) | MR 0366398

G. Bouligand Introduction à la Géométrie Infinitésimale Directe, Paris 1932. (1932) | Zbl 0005.37501

T. M. Flett Mathematical Analysis, New York 1966. (1966) | MR 0210836 | Zbl 0177.07801

T. M. Flett On differentiation in normed vector spaces, J. London Math. Soc. 42 (1967), 523-533. (1967) | MR 0215093

M. Z. Nashed Differentiability and related properties of nonlinear operators: Some aspects of the role of differentials ..., in nonlinear Functional Analysis and Applications (ed. by J. B. Rall), New York 1971. (1971) | MR 0276840

E. L. Roetman Tangent planes and differentiation, Math. Mag. 43 (1970), 1-7. (1970) | MR 0257290 | Zbl 0193.01501

H. A. Thurston On the definition of a tangent-line, Amer. Math. Monthly 71 (1964), 1099-1103. (1964) | MR 1533016

H. A. Thurston Tangents: an elementary survey, Math. Mag. 42 (1969), 1-11. (1969) | MR 1571785

P. P. Varaiya Nonlinear programming in Banach space, SIAM J. Appl. Math. 15 (1967), 284-293. (1967) | MR 0218121 | Zbl 0171.18004

A. J. Ward On Jordan curves possessing a tangent everywhere, Fund. Math. 28 (1937), 280-288. (1937)

J. Durdil On the geometric characterization of differentiability II, Comment. Math. Univ. Carolinae (to appear). | MR 0426019 | Zbl 0294.58003

A. E. Taylor Introduction to Functional Analysis, New York 1967. (1967)

K. Yosida Functional Analysis, Springer - Verlag 1965. (1965) | Zbl 0126.11504