| Title:
|
Gradient maps and boundedness of Gâteaux differentials (English) |
| Author:
|
Kolomý, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
9 |
| Issue:
|
4 |
| Year:
|
1968 |
| Pages:
|
613-625 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46-45 |
| MSC:
|
47Hxx |
| MSC:
|
49Axx |
| idZBL:
|
Zbl 0174.46104 |
| idMR:
|
MR0247464 |
| . |
| Date available:
|
2008-06-05T20:29:12Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105204 |
| . |
| Reference:
|
[1] E. S. CITLANADZE: K variacionnoj teorii odnogo klassa nelinejnych operatorov v prostranstve $L_p (p > 1).Dokl. Ak. n. SSSR 71 (1950), No 3, 441-444. |
| Reference:
|
[2] E. S. CITLANADZE: O differencirovanii funkcionalov.Matem. sb. 29 (71) (1951), No 1, 3-12. MR 0043375 |
| Reference:
|
[3] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov.Moskva 1956. |
| Reference:
|
[4] M. J. KADEC: O někotorych svojstvach potencial'nych operatorov v reflektivnych separabel'nych prostranstvach.Izv. vysš. učebn. zaved., mat. 15 (1960) No 2, 104-107. MR 0131188 |
| Reference:
|
[5] V. J. ANOSOV: Obobščenije teorem E. S. Citlanadze o svojstvach gradientov slabo něpreryvnych funkcionalov.Trudy sem. pofunkc. analizu. Voroněž 1958, vyp. 6, 1-11. |
| Reference:
|
[6] E. H. ROTHE: Gradient mappings and extrema in Banach spaces.Duke Math. J. 15 (1948), 421-431. Zbl 0030.26003, MR 0029104 |
| Reference:
|
[7] E. H. ROTHE: Gradient mappings.Bull. Am Math. Soc. 59 (1953), 5-19. Zbl 0052.12801, MR 0052681 |
| Reference:
|
[8] E. H. ROTHE: A note on gradient mappings.Proc. Am. Math. Soc. 10 (1959), 931-935. MR 0110028 |
| Reference:
|
[9] T. ANDO: On gradient mappings in Banach spaces.Proc. Am. Math. Soc. 12 (1961), 297-299. Zbl 0096.31402, MR 0140917 |
| Reference:
|
[10] J. W. DANIEL: Collectively compact sets of gradient mappings.Indag. Math. 30 (1968), 270-279. Zbl 0157.45901, MR 0236758 |
| Reference:
|
[11] N. BOURBAKI: Topologičeskije vektornyje prostranstva.Moskva 1959. |
| Reference:
|
[12] J. KOLOMÝ: On the differentiability of operators and convex functionals.Comment. Math. Univ. Carolinae 9 (1968), 441-454. MR 0238077 |
| Reference:
|
[13] J. DANEŠ J. KOLOMÝ: On the continuity and differentiability properties of convex functionals.Comment. Math. Univ. Carolinae 9 (1968), 329-350. MR 0239415 |
| Reference:
|
[14] E. ČECH: Bodové množiny.Academia, Praha 1966. MR 0229205 |
| Reference:
|
[15] S. BANACH: Théorie des opérations linéaires.Monografje Matematyczne, Warsaw 1932. Zbl 0005.20901 |
| . |
