On the geometric characterization of differentiability. I.

Jiří Durdil

Commentationes Mathematicae Universitatis Carolinae (1974)

  • Volume: 015, Issue: 3, page 521-540
  • ISSN: 0010-2628

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Durdil, Jiří. "On the geometric characterization of differentiability. I.." Commentationes Mathematicae Universitatis Carolinae 015.3 (1974): 521-540. <http://eudml.org/doc/16642>.

@article{Durdil1974,
author = {Durdil, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {521-540},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the geometric characterization of differentiability. I.},
url = {http://eudml.org/doc/16642},
volume = {015},
year = {1974},
}

TY - JOUR
AU - Durdil, Jiří
TI - On the geometric characterization of differentiability. I.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1974
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 015
IS - 3
SP - 521
EP - 540
LA - eng
UR - http://eudml.org/doc/16642
ER -

References

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  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. (1974) MR0366398
  2. G. BOULIGAND, Introduction à la Géométrie Infinitésimale Directe, Paris 1932. (1932) Zbl0005.37501
  3. T. M. FLETT, Mathematical Analysis, New York 1966. (1966) Zbl0177.07801MR0210836
  4. T. M. FLETT, On differentiation in normed vector spaces, J. London Math. Soc. 42 (1967), 523-533. (1967) MR0215093
  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. (1971) MR0276840
  6. E. L. ROETMAN, Tangent planes and differentiation, Math. Mag. 43 (1970), 1-7. (1970) Zbl0193.01501MR0257290
  7. H. A. THURSTON, On the definition of a tangent-line, Amer. Math. Monthly 71 (1964), 1099-1103. (1964) MR1533016
  8. H. A. THURSTON, Tangents: an elementary survey, Math. Mag. 42 (1969), 1-11. (1969) MR1571785
  9. P. P. VARAIYA, Nonlinear programming in Banach space, SIAM J. Appl. Math. 15 (1967), 284-293. (1967) Zbl0171.18004MR0218121
  10. A. J. WARD, On Jordan curves possessing a tangent everywhere, Fund. Math. 28 (1937), 280-288. (1937) 
  11. J. DURDIL, On the geometric characterization of differentiability II, Comment. Math. Univ. Carolinae (to appear). Zbl0294.58003MR0426019
  12. A. E. TAYLOR, Introduction to Functional Analysis, New York 1967. (1967) 
  13. K. YOSIDA, Functional Analysis, Springer - Verlag 1965. (1965) Zbl0126.11504

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