Some remarks on polynomial operators

Slavomír Burýšek

Commentationes Mathematicae Universitatis Carolinae (1969)

  • Volume: 010, Issue: 2, page 285-306
  • ISSN: 0010-2628

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Burýšek, Slavomír. "Some remarks on polynomial operators." Commentationes Mathematicae Universitatis Carolinae 010.2 (1969): 285-306. <http://eudml.org/doc/16326>.

@article{Burýšek1969,
author = {Burýšek, Slavomír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {285-306},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks on polynomial operators},
url = {http://eudml.org/doc/16326},
volume = {010},
year = {1969},
}

TY - JOUR
AU - Burýšek, Slavomír
TI - Some remarks on polynomial operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1969
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 010
IS - 2
SP - 285
EP - 306
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16326
ER -

References

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  1. J. ALBRYCHT, On a theorem of Saks for abstract polynomials, Studia Math. XIV, 1 (1953), 79-81. (1953) Zbl0052.11501MR0062337
  2. A. ALEXIEWICZ, W. ORLICZ, Analytic operations in real Banach spaces, Studia Math. XIV, 1 (1953), 53-78. (1953) Zbl0052.34601MR0062947
  3. S. BANACH, Über homogene Polynome in L 2 , Studia Math. VII (1938), 36-44. (1938) Zbl0018.21902
  4. E. J. ECKERT, Positive eigenvectors of positive polynomial operators on Banach spaces, Michigan Math. J. 12 (1965), 487-491. (1965) Zbl0151.20702MR0185476
  5. M. FRÉCHET, Les polynomes abstraites, J. Math. pures appl. (9) 8 (1929), 71-92. (1929) 
  6. M. FRÉCHET, Une definition fonctionnelle des polynomes, Nouv. Ann. Math. 9 (1929), 145-161. (1929) 
  7. I. E. HIGBERG, Polynomials in abstract spaces, California Inst. Techn. Theses (1946). (1946) 
  8. E. HILLE, R. S. PHILLIPS, Functional analysis and semi-groups, Providence 1957. (1957) MR0089373
  9. R. I. KAČUROVSKIJ, On monotone operators and convex functionals, Uspehi Mat. Nauk 15, No 4 (1960), 213-215. (1960) 
  10. J. KOLOMÝ, On the differentiability of mappings and convex functionals, Comment. Math. Univ. Caroline 8 (1967), 735-752. (1967) MR0243348
  11. KOPEC', MUSIELAK, On the estimation of the norm of the n-linear symmetric operation, Studia Math. XV (1955), 29-30. (1955) Zbl0065.35201MR0073944
  12. L. A. LJUSTERNIK, V. I. SOBOLEV, Elements of functional analysis, Moscow 1965. (1965) MR0209802
  13. K. MAURIN, Metody przestrzeni Hilberta, Warszawa 1959. (1959) Zbl0086.30901MR0131148
  14. S. MAZUR, W. ORLICZ, Grundlege Eigenschaften der polynomischen Operationen, Studia Math. V (1935), 50-68; 179-189. (1935) MR0068012
  15. M. M. VAJNBERG, Variational methods in the theory of non-linear operators, Moscow 1956. (1956) 
  16. T. L. HAYDEN, The extension of bilinear functionals, Pacific J. Math. Vol. 22, No. 1 (1967), 99-108. (1967) Zbl0177.40602MR0227736

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