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Title of Journal: Positivity

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Abbravation: Positivity

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Springer Basel

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DOI

10.1007/s10329-015-0498-7

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1572-9281

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A class of ell p saturated Banach spaces

Authors: Giorgos Petsoulas
Publish Date: 2013/06/14
Volume: 18, Issue: 2, Pages: 287-317
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Abstract

We present a new class of reflexive ell p saturated Banach spaces mathfrakX p for 1pinfty with rather tight structure The norms of these spaces are defined with the use of a modification of the standard method yielding hereditarily indecomposable Banach spaces The space mathfrakX p does not embed into a space with an unconditional basis and for any analytic decomposition into two subspaces it is proved that one of them embeds isomorphically into the ell psum of a sequence of finite dimensional normed spaces We also study the space of operators of mathfrakX p

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  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. 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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