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Zeros of real polynomials on Banach spaces

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Abstract

This paper is an expository presentation of a large part of the results, about zeros of real polynomials on Banach spaces, that have been obtained in recent years. Also new results, for orthogonally additive polynomials on Lp spaces, are given.

참고문헌 (15)

  1. "Zeros of polynomials onBanach spaces"
  2. R. M. Aron, "Zeros of real polynomials", 48, pp.107~115 (2000)
  3. R. M. Aron, "A problem concerning zero - subspaces of homo-geneous polynomials", 3, pp.2023~ (1997)
  4. G. Beer, "Convergence of continuous linear functionals and their level sets", 52 (1989)
  5. S. Dineen, "Complex Analysis on Innite Dimensional Spaces" (1999), S.M.M. Springer
  6. J. Ferrera, "Convergence of Polynomial Level Sets", 350, pp.~12 (1998)
  7. null, "Mosco convergence of sequences of homogeneous polynomials", 11(1) (1998)
  8. M. Gonz´alez, "Symmetric polynomials on re-arrangement invariant function spaces", 59(2), pp.681~697 (1999)
  9. R. C. Gunning, "Analytic functions of several complex variables" (1965)
  10. J. Harris, "Algebraic Geometry" (1995)
  11. S. Lassalle, "Zeros of orthogonally additive polynomials on.pand Lp spaces"
  12. "Complex Analysis in Banach Spaces" (1986), North-Holland
  13. "Two 1935 questions of Mazur about polynomials in Banach spaces:Acounter example", Questiones Mathematicae
  14. "On automatic continuity and thre problems ofthe Scottish Book concerning the boundedness of polynomial functionals", 220, pp.477~494 (1998)
  15. "Geometry of Spaces of Homogeneous Polynomials on BanachLatices", pp.571~586 (1991)

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