Higher order differentiability of nonlinear operators on normed spaces. I.
Commentationes Mathematicae Universitatis Carolinae (1969)
- Volume: 010, Issue: 3, page 509-533
- ISSN: 0010-2628
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topNashed, Zuhair M.. "Higher order differentiability of nonlinear operators on normed spaces. I.." Commentationes Mathematicae Universitatis Carolinae 010.3 (1969): 509-533. <http://eudml.org/doc/16340>.
@article{Nashed1969,
author = {Nashed, Zuhair M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {3},
pages = {509-533},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Higher order differentiability of nonlinear operators on normed spaces. I.},
url = {http://eudml.org/doc/16340},
volume = {010},
year = {1969},
}
TY - JOUR
AU - Nashed, Zuhair M.
TI - Higher order differentiability of nonlinear operators on normed spaces. I.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1969
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 010
IS - 3
SP - 509
EP - 533
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16340
ER -
References
top- M. Z. NASHED, On the representation and differentiability of operators, (to appear). Zbl0249.46024MR0390766
- J. DIEUDONNÉ, Foundations of Modern Analysis, Academic Pres, New York, 1960. (1960) MR0120319
- L. A. LJUSTERNIK, V. J. SOBOLEV, Elements of Functional Analysis, Ungar, New York, 1961. (1961) MR0141967
- M. M. VAINBERG, Variational Methods for the Stady of Monlinear Operators, Holden - Day, San Francisco, 1964. (1964)
- L. V. KANTOROVICH, G. P. AKHILOV, Functional Analysis in Normed Spaces, Pergamon Press, New York, 1964. (1964)
- A. D. MICHAL, Le calcul differentiel dans les espaces de Banach, vol. 1, 2. Gauthier - Villars, Paris, 1958, 1964. (1958) Zbl0083.10901
- M. Z. NASHED, Some remarks on variations and differentials, Amer. Math. Monthly 73 (1966), No. 4, Part II (Slaught Memorial Papers), 63-76. (1966) Zbl0141.11804MR0198188
- L. B. RALL, Computational Solution of Nonlinear Operator Equations, Wiley, New York, 1969. (1969) Zbl0175.15804MR0240944
- L. M. GRAVES, Riemann integration and Taylor's theorem in general analysis, Trans. Amer. Math. Soc., 29 (1927), 163-177. (1927) MR1501382
- L. M. GRATES, Topics in functional calculus, Bull. Amer. Math. Soc. 41 (1935), 641-662. (1935) MR1563163
- T. H. HILDEBRANDT, L. M. GRAVES, Implicit functions and their differentials in general analysis, Trans. Amer. Math. Soc. 29 (1927), 127-153. (1927) MR1501380
- M. FRÉCHET, La notion de différentielle dans l'analyse générale, Ann. Sci. Ecole Norm. Sup. 42 (1952), 293-323. (1952)
- M. FRÉCHET, Sur la notion différentielle, J. Math. Pures Appl. 16 (1937), 233-250. (1937)
- R. GÂTEAUX, Sur les fonctionnelles continues et les fonctionnelles analytiques, Bull. Soc. Math. France, 50 (1922), 1-21. (1922)
- R. GÂTEAUX, Sur diverses questions du calcul fonctionnel, Bull. Soc. Math. France 50 (1922). (1922)
- R. GÂTEAUX, Fonctions d'une infinite variable indépendantes, Bull. Soc. Math. France 47 (1919), 70-96. (1919) MR1504784
- P. LÉVY, Leçons d'analyse fonctionnelle, Gauthier - Villars Paris, 1922. (1922)
- M. KERNER, Die Differentiale in der allgemeinen Analysis, Ann. of Math. 34 (1933), 546-572. (1933) Zbl0007.25002MR1503123
- M. KERNER, Zur Theorie der Impliziten Funktional Operationen, Studia Mathematica, Tom III (1931), 156-173. (1931)
- M. KERNER, Sur les variations faibles et fortes d'une fonctionnelle, Annali di Matenatica Pura ed Applicata, Ser. 4, 10 (1932), 145-164. (1932) Zbl0003.40202MR1553186
- E. HILLE, R. S. PHILLIPS, Functional Analysis and Semigroups, Amer. Math. Soc. Coll. Publ., Providence, 1957. (1957) Zbl0078.10004MR0089373
- N. BOURBAKI, Espaces vectoriels topologiques, V. Herman, Paris, 1955. (1955) Zbl0067.08302
- J. DIEUDONNÉ, Recent developments in the theory of locally convex vector spaces, Bull. Soc. Math. Prance 91 (1963), 227-284. (1963)
- A. FRÖLICHER, W. BUCHER, Calculus in Vector Spaces without Norm, Springer - Verlag, Berlin, 1966. (1966) MR0213869
- M. Z. HASHED, Some remarks on higher order weak differentials, - to appear.
- J. KOLOMÝ, On the differentiability of mappings in functional spaces, Comment. Math. Univ. Carolinae 8 (1967), 315-329. (1967) MR0212569
- J. KOLOMÝ, V. ZIZLER, Remarks on the differentiability of mappings in linear normed spaces, Comment. Math. Univ. Carolinae 8 (1967), 691-704. (1967) MR0234279
- V. ZIZLER, On the differentiability of mappings in Banach spaces, Comment. Math. Univ. Carolinae 8 (1967), 415-430. (1967) Zbl0179.19101MR0227772
- M. FRÉCHET, Les polynomes abstraits, Journal de Mathématiques Pures et Appliquées; ser. 9, 6.8 (1929), p. 71. (1929) MR0070732
- A. D. MICHAL, R. S. MARTIN, Some expansions in vector spaces, J. Mathématiques Pures et Appliquées, Ser. 9, t-13 (1934), p. 69. (1934)
- R. S. MARTIN, Contributions to the Theory of Functionals, (Thesis, California Institute of Technology, 1932). (1932)
- I. E. HIGHBERG, A note on abstract polynomials in complex spaces, J. de Math. Pures et Appl. Ser. 9, t-16 (1937), 307-314. (1937) Zbl0017.11804
- M. K. GAVURIN, On k-ple linear operations in Banach spaces, Dokl. Akad. Nauk SSSR 22, No. 4 (1939), 547-551. (1939)
- M. K. GAVURIN, Analytic methods for the study of nonlinear functional transformations, Leningrad Gos. Univ. Uč. Zap. Ser. Mat. Nauk 19 (1950), 59-154. (1950) MR0094730
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