Differentiability of convex functionals and boundedness of nonlinear operators and functionals
Commentationes Mathematicae Universitatis Carolinae (1969)
- Volume: 010, Issue: 1, page 91-114
- ISSN: 0010-2628
Access Full Article
topHow to cite
topKolomý, Josef. "Differentiability of convex functionals and boundedness of nonlinear operators and functionals." Commentationes Mathematicae Universitatis Carolinae 010.1 (1969): 91-114. <http://eudml.org/doc/16312>.
@article{Kolomý1969,
author = {Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {1},
pages = {91-114},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Differentiability of convex functionals and boundedness of nonlinear operators and functionals},
url = {http://eudml.org/doc/16312},
volume = {010},
year = {1969},
}
TY - JOUR
AU - Kolomý, Josef
TI - Differentiability of convex functionals and boundedness of nonlinear operators and functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1969
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 010
IS - 1
SP - 91
EP - 114
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16312
ER -
References
top- J. KOLOMÝ, On the differentiability of operators and convex functionals, Comment. Math. Univ. Carolinae 9 (1968), 441-454. (1968) MR0238077
- J. KOLOMÝ, Gradient maps and boundedness of Gâteaux differentials, Comment. Math. Univ. Carolinae 9 (1968), 613-625. (1968) MR0247464
- J. DANEŠ J. KOLOMÝ, On the continuity and differentiability properties of convex functionals, Comment. Math. Univ. Carolinae 9 (1968), 329-350. (1968) MR0239415
- M. M. VAJNBERG, Variacionnyje metody issledovanija nelinejnych operatorov, Moskva 1956. (1956)
- J. KOLOMÝ, On the differentiability of mappings and convex functionals, Comment. Math. Univ. Carolinae 8 (1967), 735-752. A correction ibid 9 (1968), 197. (1967) MR0243348
- L. E. DUBINS, On differentiation of series term-by-term, Am. Math. Monthly 67 (1960) 771-772. (1960) Zbl0100.05502MR0123120
- J. DIEUDONNÉ, Foundations of Modern Analysis, New York, London 1960. (1960) MR0120319
- A. D. MICHAL, Differential calculus in linear topological spaces, Proc. Nat. Acad. Sci. U. S. A. 24 (1938), 340-342. (1938) Zbl0019.31101
- KY FAN, Sur quelques notions fondamentales de l'analyse générale, Journ. Math. Pures Appl. 21 (1942), 289-368. (1942) MR0009088
- M. BALANSAT, La différential en les espacios métricas affines, Matem. Notae 9 (1949), 29-51; 19 (1964), 43-62. (1949)
- 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. (1960)
- 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. (1960) MR0124760
- V. I. AVERBUCH O. G. SMOLJANOV, Različnyje opredělenija proizvodnoj v linejnych topologičeskich prostranstvach, Usp. mat. nauk t. 23 (1968), vyp. 4 (142), 67-116. (1968) MR0246118
- V. F. DEMJANOV A. M. RUBINOV, Približennyje metody rešenija ekstremalnych zadač, Izd. Leningr. univ. 1968. (1968) MR0244823
- E. ASPLUND, Fréchet differentiability of convex functions, Acta Math. 121 (1968), 1-2, 30-47. (1968) Zbl0162.17501MR0231199
- K. KURATOWSKIJ, Topologia I, (rus. perevod), Moskva 1966. (1966)
- E. ČECH, Topological spaces, Rev. ed. Academia Praha 1966. (1966)
- S. BANACH, Théorie des opérations linéaires, Monografje Matematyczne, Warazaw 1932. (1932) Zbl0005.20901
- E. HILLE R. S. PHILLIPS, Functional analysis and semigroup, Am. Math. Soc. Providence 1957. (1957) MR0089373
- J. KOLOMÝ, On the differentiability of mappings in functional spaces, Comment. Math. Univ. Carolinae 8 (1967), 315-329. (1967) MR0212569
- E. ČECH, Point sets, (engl. transl.) Academia, Praha 1969. (1969) MR0256344
- S. MAZUR L. STERNBACH, Über die Borelschen Typen von linearen Mengen, Studia Math. 4 (1930), 48-53. (1930)
- M. KATĚTOV, O normovaných vektorových prostorech, Rozpravy II. tř. České akad. 53, č. 45 (1944), 1-27. (1944) MR0024068
- M. M. DAY, Normed linear spaces, Springer 1958. (1958) Zbl0082.10603MR0094675
- S. MAZUR W. ORLICZ, Grundlegende Eigenschaften der polynomischen Operationen I, II, Studia Math. Vol. 5 (1934), 50-68; 179-189. (1934)
- M. ZORN, Gâteaux differentiability and essential boundedness, Duke Math. J. 12 (1945), 579-583. (1945) Zbl0061.25001MR0014596
- S. YAMAMURO, A note on the boundedness property of non-linear operators, Yokohama Math. J. 10 (1962), 19-23. (1962) Zbl0188.45602MR0155187
- J. KOLOMÝ, Remarks on nonlinear functionals, Comment. Math. Univ. Carolinae 9 (1968), 145-155. (1968) MR0238076
- N. BOURBAKI, Topologičeskije vektornyje prostranstva, (ruskij perevod). Moskva 1956. (1956)
Citations in EuDML Documents
top- Josef Kolomý, Continuity and differentiability properties of nonlinear operators
- Josef Kolomý, Some remarks on nonlinear functionals
- Josef Kolomý, Remarks on nonlinear operators and functionals
- Josef Kolomý, On the continuity properties of nonlinear operators and functionals
- Josef Kolomý, A note on uniform boundedness principle for nonlinear operators
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.