Multivalued superposition operators

Appell, J.; De Pascale, E.; Zabrejko, P. P.

Appell, J. ; De Pascale, E. ; Zabrejko, P. P.

Rendiconti del Seminario Matematico della Università di Padova, Tome 86 (1991), pp. 213-231.

MR Zbl

@article{RSMUP_1991__86__213_0,
     author = {Appell, J. and De Pascale, E. and Zabrejko, P. P.},
     title = {Multivalued superposition operators},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {213--231},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {86},
     year = {1991},
     mrnumber = {1154110},
     zbl = {0748.47049},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1991__86__213_0/}
}

TY  - JOUR
AU  - Appell, J.
AU  - De Pascale, E.
AU  - Zabrejko, P. P.
TI  - Multivalued superposition operators
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1991
SP  - 213
EP  - 231
VL  - 86
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1991__86__213_0/
LA  - en
ID  - RSMUP_1991__86__213_0
ER  -

%0 Journal Article
%A Appell, J.
%A De Pascale, E.
%A Zabrejko, P. P.
%T Multivalued superposition operators
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1991
%P 213-231
%V 86
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1991__86__213_0/
%G en
%F RSMUP_1991__86__213_0

Appell, J.; De Pascale, E.; Zabrejko, P. P. Multivalued superposition operators. Rendiconti del Seminario Matematico della Università di Padova, Tome 86 (1991), pp. 213-231. http://archive.numdam.org/item/RSMUP_1991__86__213_0/

Bibliographie
Cité par

[1] T. Andô, On products of 0rlicz spaces, Math. Ann., 140 (1960), pp. 174-186. | MR | Zbl

[2] J. Appell - E. DE PASCALE, Théorèmes de bornage pour l'opérateur de Nemyckii dans les espaces idéaux, Canadian J. Math., 36, 6 (1986), pp. 1338-1355. | Zbl

[3] J. Appell - E. De Pascale, Un'osservazione sulla misura di non compattezza nell'iperspazio dei compatti di uno spazio metrico (to appear).

[4] J. Appell - P. P. ZABREJKO, Continuity properties of the superposition opeator, J. Austral. Math. Soc., 47 (1989), pp. 186-210. | MR | Zbl

[5] J. Appell - P. P. ZABREJKO, Boundedness properties of the superposition operator, Bull. Polish Acad. Sci. Math., 37 (1989), pp. 363-377. | MR | Zbl

[6] J. Appell - P. P. ZABREJKO, Nonlinear superposition operators, Cambridge Univ. Press, Cambridge (1990). | MR | Zbl

[7] G. Beer, On a measure of noncompactness, Rend. Mat. Appl., 7 (1987), pp. 193-205. | MR | Zbl

[8] Ju G. Borisovich - B.D. Gel'Man - A.D. Myshkis - V.V. Obuhovskij, Multivalued maps (Russian), Itogi Nauki Tehniki, 19 (1982), pp. 127-230 [Engl. transl.: J. Soviet Math., 24 (1984), pp. 719-791]. | Zbl

[9] Ju G. Borisovich - B.D. Gel'Man - A.D. Myshkis - V.V. Obuhovskij, Introduction to the theory of multivalued maps (Russian), Izdat. Voronezh. Gos. Univ., Voronezh (1986).

[10] C. Castaing, Sur les équations différentielles multivoques, C.R. Acad. Sci. Paris, 263 (1966), pp. 63-66. | MR | Zbl

[11] C. Castaing, Personal communication (1989).

[12] N. Dunford - J.T. Schwartz, Linear operators I, Int. Publ., Leyden (1963). | MR | Zbl

[13] A.F. Filippov, On some problems in optimal control theory (Russian), Vestnik Mosk. Univ., 2 (1959), pp. 25-32. | Zbl

[14] A.F. Filippov, Differential equations with discontinuous right-hand side (Russian), Nauka, Moskva (1985). | MR | Zbl

[15] C.J. Himmelberg, Measurable relations, Fundamenta Math., 87 (1975), pp. 53-72. | MR | Zbl

[16] M.A. Krasnosel'Skij - L.A. Ladyzhenskij, Conditions for the complete continuity of the P.S. Uryson operator (Russian), Trudy Moskov. Mat. Obshch., 3 (1954), pp. 307-320. | Zbl

[17] M.A. Krasnosel'Skij - A.V. Pokrovskij, Systems with hysteresis (Russian), Moskva (1983) [Engl. transl.: Springer, Berlin (1989)]. | Zbl

[18] M.A. Krasnosel'Skij - Ja B. Rutitskij, Convex functions and Orlicz spaces (Russian), Fizmatgiz, Moskva (1958) [Engl. transl.: Noordhoff, Groningen (1961)]. | Zbl

[19] M.A. Krasnosel'Skij - Ja B. Rutitskij - R.M. Sultanov, On a nonlinear operator which acts in a space of abstract functions (Russian), Izv. Akad. Nauk Azerbajdzh. SSR, 3 (1959), pp. 15-21. | MR | Zbl

[20] S.G. Krejn - Ju I. Petunin - Je M. Semjonov, Interpolation of linear operators (Russian), Nauka, Moskva (1978) [Engl. transl.: Amer. Math. Soc. Transl. Monogr. 54, Providence (1982)]. | MR

[21] E.A. Michael, Continuous selections I, Ann. Math., 63, 2 (1956), pp. 361-381. | MR | Zbl

[22] E.A. Michael, Selected selection theorems, Amer. Math. Monthly, 63 (1956), pp. 233-238. | MR | Zbl

[23] V.V. Obuhovskij, On periodic solutions of differential equations with multivalued right-hand side (Russian), Trudy Mat. Fak. Voronezh. Gos. Univ., 10 (1973), pp. 74-82.

[24] V.V. Obuhovskij, Personal communication (1989).

[25] M.F. Sainte-Beuve, Sur la généralisation d'un théorème de section mesurable de von Neumann-Aumann, C.R. Acad. Sci. Paris, 276 (1973), pp. 1297-1300. | MR | Zbl

[26] M.F. Sainte-Beuve, On the extension of von Neumann-Aumann's theorem, J. Funct. Anal., 17 (1974), pp. 112-129. | MR | Zbl

[27] V.Z. Tsaljuk, On the superpositional measurability of multivalued functions (Russian), Mat. Zametki, 43 (1988), pp. 98-102 [Engl. transl.: Math. Notes, 43 (1988), pp. 58-60]. | MR | Zbl

[28] P.P. Zabrejko, Nonlinear integral operators (Russian), Trudy Sem. Funk. Anal. Voronezh. Gos. Univ., 8 (1966), pp. 1-148. | MR

[29] P.P. Zabrejko, Ideal function spaces I (Russian), Jaroslav. Gos. Univ. Vestnik, 8 (1974), pp. 12-52.