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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
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Category: math
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MSC: 46G05
MSC: 47H99
MSC: 58C20
idZBL: Zbl 0289.58004
idMR: MR0426019
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Date available: 2008-06-05T20:45:42Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105575
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Related article: http://dml.cz/handle/10338.dmlcz/105594
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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
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