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ZEROS OF REAL POLYNOMIALS ON BANACH SPACES

  • Llavona, Jose-G. (Departamento de Analisis Matematico Facultad de Matematicas Universidad Complutense de Madrid)
  • Published : 2004.01.01

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 or-thogonally additive polynomials on $L_p$ spaces, are given.

Keywords

References

  1. Zeros of polynomials on Banach spaces: The real story R.M.Aron;C.Boyd;R.A.Ryan;I.Zalduendo
  2. Linear and Multilinear algebra v.48 Zeros of real polynomials R.M.Aron;R.Gonzalo;A.Zagorodnyuk https://doi.org/10.1080/03081080008818662
  3. Linear topological spaces and complex analysis v.3 A problem concerning zero - subspaces of homogeneous polynomials R.M.Aron;M.P.Rueda
  4. ISNM 76 Convergence of sequences of sets, Methods of functional analysis in approximation theory M.Baronti;P.Papini
  5. Arch. Math. v.52 Convergence of continuous linear functionals and their level sets G.Beer https://doi.org/10.1007/BF01198356
  6. Complex Analysis on Infinite Dimensional Spaces S.Dineen
  7. Trans. Amer. Math. Soc. v.350 no.12 Convergence of Polynomial Level Sets J.Ferrere
  8. Rev. Mat. Complut. v.11 no.1 Mosco convergence of sequences of homogeneous polynomials J.Ferrere
  9. J. London Math. Soc. v.59 no.2 Symmetric polynomials on rearrangement invariant function spaces M.Gonzalez;R.Gonzalo;J.A.Jaramillo https://doi.org/10.1112/S0024610799007164
  10. Prentice-Hall Series in modern analysis Analytic functions of several complex variables R.C.Gunning;H.Rosi
  11. Grad. Texts in Math. v.133 Algebraic Geometry, A first course J.Harris
  12. Zeros of orthogonally additive polynomials on ${l}_{p}$ and ${L}_{p}$ spaces S.Lassalle;J.G.Llavona
  13. Classical Banach spaces Ⅱ J.Lindenstrauss;L.Tzafriri
  14. Math. Studies v.120 Complex Analysis in Banach Spaces J.Mujica
  15. J. Math. Anal. Appl. v.220 no.2 On automatic continuity and three problems of the Scottish Book concerning the boundedness of polynomial functionals V.Plichko;A.Zaragodnyuk https://doi.org/10.1006/jmaa.1997.5826
  16. Questiones Mathematicae Two 1935 questions of Mazur about polynomials in Banach spaces: A counter example V.Pestov https://doi.org/10.1006/jmaa.1997.5826
  17. DIMACS Ser. Discrete Math. Theoret. Comput. Sci. v.4 Geometry of Spaces of Homogeneous Polynomials on Bonach Lattices, Applied geometry and discrete mathematics K.Sundaresan
  18. Modern Algebra B. L. van der Waerden