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Title of Journal: Positivity

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Abbravation: Positivity

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SP Birkhäuser Verlag Basel

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DOI

10.1016/0002-8703(49)91175-8

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1572-9281

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Positive bases in spaces of polynomials

Authors: Bálint Farkas Szilárd Gy Révész
Publish Date: 2008/05/01
Volume: 12, Issue: 4, Pages: 691-709
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Abstract

For a nonempty compact set OmegasubseteqmathbbR we determine the maximal possible dimension of a subspace XsubseteqmathcalP mOmega of polynomial functions over Ω with degree at most m which possesses a positive basis The exact value of this maximum depends on topological features of Ω and we will see that in many of the cases m can be achieved Whereas only for low m or finite sets Ω it is possible that we have a subspace X with positive basis and with dim X = m + 1 Hence there is no Ω for which a positive basis exists in mathcalP m for all minmathbbN

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  1. Order-unit-metric spaces
  2. The Radon–Nikodym Property for Tensor Products of Banach Lattices
  3. Odd Degree Polynomials on Real Banach Spaces
  4. Regular orbits and positive directions
  5. Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem
  6. A new application of non-increasing sequences
  7. On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem
  8. A class of $$\ell ^p$$ saturated Banach spaces
  9. On the Structure of the Completion of a Normed Lattice
  10. Domination by ergodic elements in ordered Banach algebras
  11. Pentadiagonal Oscillatory Matrices with Two Spectrum in Common
  12. The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions
  13. An iterative algorithm for finding a common solution of fixed points and a general system of variational inequalities for two inverse strongly accretive operators
  14. Perturbation of Transition Functions and a Feynman-Kac Formula for the Incorporation of Mortality
  15. Statistical approximation by double sequences of positive linear operators on modular spaces
  16. Modules and extremal completely positive maps
  17. Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure
  18. A characterization of positively decomposable non-linear maps between Banach lattices
  19. Positive solutions for fractional differential systems with nonlocal Riemann–Liouville fractional integral boundary conditions
  20. Coupled coincidence point results on generalized distance in ordered cone metric spaces
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