| Title:
|
Some remarks on polynomial operators (English) |
| Author:
|
Burýšek, Slavomír |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1969 |
| Pages:
|
285-306 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47-30 |
| MSC:
|
47Bxx |
| idZBL:
|
Zbl 0176.12402 |
| idMR:
|
MR0251560 |
| . |
| Date available:
|
2008-06-05T20:30:26Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105233 |
| . |
| Reference:
|
[1] J. ALBRYCHT: On a theorem of Saks for abstract polynomials.Studia Math. XIV, 1 (1953), 79-81. Zbl 0052.11501, MR 0062337 |
| Reference:
|
[2] A. ALEXIEWICZ, W. ORLICZ: Analytic operations in real Banach spaces.Studia Math. XIV, 1 (1953), 53-78. Zbl 0052.34601, MR 0062947 |
| Reference:
|
[3] S. BANACH: Über homogene Polynome in $L_2$.Studia Math. VII (1938), 36-44. Zbl 0018.21902 |
| Reference:
|
[4] E. J. ECKERT: Positive eigenvectors of positive polynomial operators on Banach spaces.Michigan Math. J. 12 (1965), 487-491. Zbl 0151.20702, MR 0185476 |
| Reference:
|
[5] M. FRÉCHET: Les polynomes abstraites.J. Math. pures appl. (9) 8 (1929), 71-92. |
| Reference:
|
[6] M. FRÉCHET: Une definition fonctionnelle des polynomes.Nouv. Ann. Math. 9 (1929), 145-161. |
| Reference:
|
[7] I. E. HIGBERG: Polynomials in abstract spaces.California Inst. Techn. Theses (1946). |
| Reference:
|
[8] E. HILLE, R. S. PHILLIPS: Functional analysis and semi-groups.Providence 1957. MR 0089373 |
| Reference:
|
[9] R. I. KAČUROVSKIJ: On monotone operators and convex functionals.Uspehi Mat. Nauk 15, No 4 (1960), 213-215. |
| Reference:
|
[10] J. KOLOMÝ: On the differentiability of mappings and convex functionals.Comment. Math. Univ. Caroline 8 (1967), 735-752. MR 0243348 |
| Reference:
|
[11] KOPEC', MUSIELAK: On the estimation of the norm of the n-linear symmetric operation.Studia Math. XV (1955), 29-30. Zbl 0065.35201, MR 0073944 |
| Reference:
|
[12] L. A. LJUSTERNIK, V. I. SOBOLEV: Elements of functional analysis.Moscow 1965. MR 0209802 |
| Reference:
|
[1З] K. MAURIN: Metody przestrzeni Hilberta.Warszawa 1959. Zbl 0086.30901, MR 0131148 |
| Reference:
|
[14] S. MAZUR, W. ORLICZ: Grundlege Eigenschaften der polynomischen Operationen.Studia Math. V (1935), 50-68; 179-189. MR 0068012 |
| Reference:
|
[15] M. M. VAJNBERG: Variational methods in the theory of non-linear operators.Moscow 1956. |
| Reference:
|
[16] T. L. HAYDEN: The extension of bilinear functionals.Pacific J. Math. Vol. 22, No. 1 (1967), 99-108. Zbl 0177.40602, MR 0227736 |
| . |
