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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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10.1002/chem.201502431

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1572-9281

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A characterization of positively decomposable non

Authors: William A Feldman Pramod Singh
Publish Date: 2008/07/16
Volume: 12, Issue: 3, Pages: 495-502
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Abstract

A map between Banach lattices E and F is called positively decomposable if Tf = g 1 + g 2 for f g 1 g 2 positive and g 1 and g 2 disjoint implies there exist disjoint positive elements f 1 and f 2 each less than f with the property that Tf 1 = g 1 and Tf 2 = g 2 Recently the positive decomposability of linear Carleman operators on Banach lattices were characterized using disjointness condition of images of the approximate atoms This note provides an extension of the characterization for a class of nonlinear maps Further disjointness preserving maps are studied

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Other Papers In This Journal:
  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. Positive bases in spaces of polynomials
  5. Regular orbits and positive directions
  6. Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem
  7. A new application of non-increasing sequences
  8. On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem
  9. A class of $$\ell ^p$$ saturated Banach spaces
  10. On the Structure of the Completion of a Normed Lattice
  11. Domination by ergodic elements in ordered Banach algebras
  12. Pentadiagonal Oscillatory Matrices with Two Spectrum in Common
  13. The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions
  14. An iterative algorithm for finding a common solution of fixed points and a general system of variational inequalities for two inverse strongly accretive operators
  15. Perturbation of Transition Functions and a Feynman-Kac Formula for the Incorporation of Mortality
  16. Statistical approximation by double sequences of positive linear operators on modular spaces
  17. Modules and extremal completely positive maps
  18. Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure
  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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