Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Kolomý, Josef. Differentiability of convex functionals and boundedness of nonlinear operators and functionals. Commentationes Mathematicae Universitatis Carolinae, Tome 10 (1969) no. 1, pp. 91-114. http://geodesic.mathdoc.fr/item/CMUC_1969_10_1_a4/
@article{CMUC_1969_10_1_a4,
author = {Kolom\'y, Josef},
title = {Differentiability of convex functionals and boundedness of nonlinear operators and functionals},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {91--114},
year = {1969},
volume = {10},
number = {1},
mrnumber = {0248522},
zbl = {0189.45001},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1969_10_1_a4/}
}
TY - JOUR AU - Kolomý, Josef TI - Differentiability of convex functionals and boundedness of nonlinear operators and functionals JO - Commentationes Mathematicae Universitatis Carolinae PY - 1969 SP - 91 EP - 114 VL - 10 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_1969_10_1_a4/ LA - en ID - CMUC_1969_10_1_a4 ER -
[1] J. KOLOMÝ: On the differentiability of operators and convex functionals. Comment. Math. Univ. Carolinae 9 (1968), 441-454. | MR
[2] J. KOLOMÝ: Gradient maps and boundedness of Gâteaux differentials. Comment. Math. Univ. Carolinae 9 (1968), 613-625. | MR
[3] J. DANEŠ J. KOLOMÝ: On the continuity and differentiability properties of convex functionals. Comment. Math. Univ. Carolinae 9 (1968), 329-350. | MR
[4] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov. Moskva 1956.
[5] J. KOLOMÝ: On the differentiability of mappings and convex functionals. Comment. Math. Univ. Carolinae 8 (1967), 735-752. A correction ibid 9 (1968), 197. | MR
[6] L. E. DUBINS: On differentiation of series term-by-term. Am. Math. Monthly 67 (1960) 771-772. | MR | Zbl
[7] J. DIEUDONNÉ: Foundations of Modern Analysis. New York, London 1960. | MR
[8] A. D. MICHAL: Differential calculus in linear topological spaces. Proc. Nat. Acad. Sci. U. S. A. 24 (1938), 340-342. | Zbl
[9] KY FAN: Sur quelques notions fondamentales de l'analyse générale. Journ. Math. Pures Appl. 21 (1942), 289-368. | MR
[10] M. BALANSAT: La différential en les espacios métricas affines. Matem. Notae 9 (1949), 29-51; 19 (1964), 43-62.
[11] M. BALANSAT: La différentielle d'Hadamard-Fréchet dans les espaces vectoriels topologiques. Compt. Rend. Acad. Sci. (Paris) 251 (1960), 2459-2461; 253 (1961), 1240-1242.
[12] S. F. LONG de FOGLIO: La différentielle au sense d'Hadamard-Fréchet dans les espaces L vectoriels. Portug. Math. 19 (1960) No 3-4, 165-184. | MR
[1З] V. I. AVERBUCH O. G. SMOLJANOV: Različnyje opredělenija proizvodnoj v linejnych topologičeskich prostranstvach. Usp. mat. nauk t. 23 (1968), vyp. 4 (142), 67-116. | MR
[14] V. F. DEMJANOV A. M. RUBINOV: Približennyje metody rešenija ekstremalnych zadač. Izd. Leningr. univ. 1968. | MR
[15] E. ASPLUND: Fréchet differentiability of convex functions. Acta Math. 121 (1968), 1-2, 30-47. | MR | Zbl
[16] K. KURATOWSKIJ: Topologia I. (rus. perevod), Moskva 1966.
[17] E. ČECH: Topological spaces. Rev. ed. Academia Praha 1966.
[18] S. BANACH: Théorie des opérations linéaires. Monografje Matematyczne, Warazaw 1932. | Zbl
[19] E. HILLE R. S. PHILLIPS: Functional analysis and semigroup. Am. Math. Soc. Providence 1957. | MR
[20] J. KOLOMÝ: On the differentiability of mappings in functional spaces. Comment. Math. Univ. Carolinae 8 (1967), 315-329. | MR
[21] E. ČECH: Point sets. (engl. transl.) Academia, Praha 1969. | MR
[22] S. MAZUR L. STERNBACH: Über die Borelschen Typen von linearen Mengen. Studia Math. 4 (1930), 48-53.
[23] M. KATĚTOV: O normovaných vektorových prostorech. Rozpravy II. tř. České akad. 53, č. 45 (1944), 1-27. | MR
[24] M. M. DAY: Normed linear spaces. Springer 1958. | MR | Zbl
[25] S. MAZUR W. ORLICZ: Grundlegende Eigenschaften der polynomischen Operationen I, II. Studia Math. Vol. 5 (1934), 50-68; 179-189.
[26] M. ZORN: Gâteaux differentiability and essential boundedness. Duke Math. J. 12 (1945), 579-583. | MR | Zbl
[27] S. YAMAMURO: A note on the boundedness property of non-linear operators. Yokohama Math. J. 10 (1962), 19-23. | MR | Zbl
[28] J. KOLOMÝ: Remarks on nonlinear functionals. Comment. Math. Univ. Carolinae 9 (1968), 145-155. | MR
[29] N. BOURBAKI: Topologičeskije vektornyje prostranstva. (ruskij perevod). Moskva 1956.