| Title:
|
On the geometric characterization of differentiability. I. (English) |
| Author:
|
Durdil, Jiří |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
15 |
| Issue:
|
3 |
| Year:
|
1974 |
| Pages:
|
521-540 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46G05 |
| MSC:
|
47H99 |
| MSC:
|
58C20 |
| idZBL:
|
Zbl 0289.58004 |
| idMR:
|
MR0426019 |
| . |
| Date available:
|
2008-06-05T20:45:42Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105575 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105594 |
| . |
| Reference:
|
[1] 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. MR 0366398 |
| Reference:
|
[2] G. BOULIGAND: Introduction à la Géométrie Infinitésimale Directe.Paris 1932. Zbl 0005.37501 |
| Reference:
|
[3] T. M. FLETT: Mathematical Analysis.New York 1966. Zbl 0177.07801, MR 0210836 |
| Reference:
|
[4] T. M. FLETT: On differentiation in normed vector spaces.J. London Math. Soc. 42 (1967), 523-533. MR 0215093 |
| Reference:
|
[5] 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. MR 0276840 |
| Reference:
|
[6] E. L. ROETMAN: Tangent planes and differentiation.Math. Mag. 43 (1970), 1-7. Zbl 0193.01501, MR 0257290 |
| Reference:
|
[7] H. A. THURSTON: On the definition of a tangent-line.Amer. Math. Monthly 71 (1964), 1099-1103. MR 1533016 |
| Reference:
|
[8] H. A. THURSTON: Tangents: an elementary survey.Math. Mag. 42 (1969), 1-11. MR 1571785 |
| Reference:
|
[9] P. P. VARAIYA: Nonlinear programming in Banach space.SIAM J. Appl. Math. 15 (1967), 284-293. Zbl 0171.18004, MR 0218121 |
| Reference:
|
[10] A. J. WARD: On Jordan curves possessing a tangent everywhere.Fund. Math. 28 (1937), 280-288. |
| Reference:
|
[11] J. DURDIL: On the geometric characterization of differentiability II.Comment. Math. Univ. Carolinae (to appear). Zbl 0294.58003, MR 0426019 |
| Reference:
|
[12] A. E. TAYLOR: Introduction to Functional Analysis.New York 1967. |
| Reference:
|
[13] K. YOSIDA: Functional Analysis.Springer - Verlag 1965. Zbl 0126.11504 |
| . |
