Geodesic
Some remarks on polynomial operators
Commentationes Mathematicae Universitatis Carolinae, Tome 10 (1969) no. 2, pp. 285-306 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 47-30, 47Bxx 
@article{CMUC_1969_10_2_a10,
     author = {Bur\'y\v{s}ek, Slavom{\'\i}r},
     title = {Some remarks on polynomial operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {285--306},
     year = {1969},
     volume = {10},
     number = {2},
     mrnumber = {0251560},
     zbl = {0176.12402},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1969_10_2_a10/}
}
TY  - JOUR
AU  - Burýšek, Slavomír
TI  - Some remarks on polynomial operators
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1969
SP  - 285
EP  - 306
VL  - 10
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_1969_10_2_a10/
LA  - en
ID  - CMUC_1969_10_2_a10
ER  - 
%0 Journal Article
%A Burýšek, Slavomír
%T Some remarks on polynomial operators
%J Commentationes Mathematicae Universitatis Carolinae
%D 1969
%P 285-306
%V 10
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_1969_10_2_a10/
%G en
%F CMUC_1969_10_2_a10
Burýšek, Slavomír. Some remarks on polynomial operators. Commentationes Mathematicae Universitatis Carolinae, Tome 10 (1969) no. 2, pp. 285-306. http://geodesic.mathdoc.fr/item/CMUC_1969_10_2_a10/

[1] J. ALBRYCHT: On a theorem of Saks for abstract polynomials. Studia Math. XIV, 1 (1953), 79-81. | MR | Zbl

[2] A. ALEXIEWICZ, W. ORLICZ: Analytic operations in real Banach spaces. Studia Math. XIV, 1 (1953), 53-78. | MR | Zbl

[3] S. BANACH: Über homogene Polynome in $L_2$. Studia Math. VII (1938), 36-44. | Zbl

[4] E. J. ECKERT: Positive eigenvectors of positive polynomial operators on Banach spaces. Michigan Math. J. 12 (1965), 487-491. | MR | Zbl

[5] M. FRÉCHET: Les polynomes abstraites. J. Math. pures appl. (9) 8 (1929), 71-92.

[6] M. FRÉCHET: Une definition fonctionnelle des polynomes. Nouv. Ann. Math. 9 (1929), 145-161.

[7] I. E. HIGBERG: Polynomials in abstract spaces. California Inst. Techn. Theses (1946).

[8] E. HILLE, R. S. PHILLIPS: Functional analysis and semi-groups. Providence 1957. | MR

[9] R. I. KAČUROVSKIJ: On monotone operators and convex functionals. Uspehi Mat. Nauk 15, No 4 (1960), 213-215.

[10] J. KOLOMÝ: On the differentiability of mappings and convex functionals. Comment. Math. Univ. Caroline 8 (1967), 735-752. | MR

[11] KOPEC', MUSIELAK: On the estimation of the norm of the n-linear symmetric operation. Studia Math. XV (1955), 29-30. | MR | Zbl

[12] L. A. LJUSTERNIK, V. I. SOBOLEV: Elements of functional analysis. Moscow 1965. | MR

[1З] K. MAURIN: Metody przestrzeni Hilberta. Warszawa 1959. | MR | Zbl

[14] S. MAZUR, W. ORLICZ: Grundlege Eigenschaften der polynomischen Operationen. Studia Math. V (1935), 50-68; 179-189. | MR

[15] M. M. VAJNBERG: Variational methods in the theory of non-linear operators. Moscow 1956.

[16] T. L. HAYDEN: The extension of bilinear functionals. Pacific J. Math. Vol. 22, No. 1 (1967), 99-108. | MR | Zbl