| Title:
|
Some remarks on nonlinear functionals (English) |
| Author:
|
Kolomý, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
11 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
693-704 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46-00 |
| MSC:
|
46G05 |
| MSC:
|
47-80 |
| MSC:
|
47H99 |
| MSC:
|
47Hxx |
| MSC:
|
49Axx |
| MSC:
|
49J50 |
| idZBL:
|
Zbl 0205.43303 |
| idMR:
|
MR0283639 |
| . |
| Date available:
|
2008-06-05T20:33:42Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105308 |
| . |
| Reference:
|
[1] A. ZYGMUND: Trigonometric Series.Vol. I, Cambridge, 1959. Zbl 0085.05601 |
| Reference:
|
[2] J. DANEŠ J. KOLOMÝ: On the continuity and differentiability properties of convex functionals.Comment. Math. Univ. Carolinae 9 (1968), 329-350. MR 0239415 |
| Reference:
|
[3] M. M. VAJNBERG: Variational methods for the study of nonlinear operators.Holden-Day, San Francisco, 1964. Zbl 0122.35501, MR 0176364 |
| Reference:
|
[4] G. A. SUCHOMLINOV: Analytičeskije funkcionaly.Bull. Mosk. gos. univ. Ser. A, 1 (1937), 1-19. |
| Reference:
|
[5] G. KÖTHE: Topologische lineare Räume I.Springer, 1960. MR 0130551 |
| Reference:
|
[6] G. RESTREPO: An infinite dimensional version of a theorem of Bernstein.Proc. Am. Math. Soc. 23 (1969), 193-198. Zbl 0186.18803, MR 0246092 |
| Reference:
|
[7] K. J. PALMER: On the complete continuity of differentiable mappings.Journ. Austr. Math. Soc. 9 (1969), 441-444. Zbl 0174.19303, MR 0243393 |
| Reference:
|
[8] J. KOLOMÝ: On the differentiability of mappings and convex functionals.Comment. Math. Univ. Carolinae 8 (1967), 735-752; correction: ibid., 9 (1968), 197. MR 0243348 |
| Reference:
|
[9] J. KOLOMÝ: Differentiability of convex functionals and boundedness of nonlinear operators and functionals.Comment. Math. Univ. Carolinae 10 (1969), 91-114. MR 0248522 |
| Reference:
|
[10] J. LINDENSTRAUSS: Weakly compact sets - their topological properties and the Banach spaces they generate.Proc. Symp. Infinite Dim. Topology 1967|Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J. (to appear). MR 0417761 |
| Reference:
|
[11] E. J. McSHANE: Linear functionals on certain Banach spaces.Froc. Am. Math. Soc. 1 (1950), 402-408. Zbl 0039.11802, MR 0036448 |
| Reference:
|
[12] S. MAZUR: Über schwache Konvergenz in den Räumen $L^p$.Stud. Math. 4 (1933), 128-133. |
| Reference:
|
[13] R. BELLMAN: On the Riesz representation theorem.Boll. Unione Mat. Italia 20 (1965), 122. Zbl 0125.34404, MR 0177284 |
| Reference:
|
[14] R. C. JAMES: Orthogonality and linear functionals in normed linear spaces.Trans. Am. Math. Soc. 61 (1947), 265-292. Zbl 0037.08001, MR 0021241 |
| Reference:
|
[15] R. BONIC F. REIS: A characterization of Hilbert space.An. Acad. Bras. Cienc. 38 (1966), 239-241. MR 0218877 |
| Reference:
|
[16] T. M. FLETT: Points of minimum or maximum norm on smooth surfaces in Banach spaces.J. London Math. Soc. 44 (1969), 583-586. Zbl 0175.14803, MR 0240622 |
| Reference:
|
[17] J. KOLOMÝ: Remarks on nonlinear operators and functionals.Comment. Math. Univ. Carolinae 10 (1969), 391-404. MR 0257738 |
| . |
