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Title of Journal: Positivity

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Abbravation: Positivity

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Birkhäuser-Verlag

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10.1002/ange.201203359

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1572-9281

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The essential spectral radius of Volterra operator

Authors: Martin Väth
Publish Date: 2008/03/12
Volume: 13, Issue: 1, Pages: 287-298
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Abstract

It is shown that for abstract linear Volterra operators the spectral radius is the essential spectral radius The result is applied to prove the existence of a global solution of a VolterraHammerstein functional inclusion when the nonlinearity has at most affine growthThe paper was written in the framework of a Heisenberg fellowship Az VA 206/12 financial support by the DFG is gratefully acknowledged The author wants to thank Vladimir Kadets for valuable remarks about multivalued integration and Egor A Alekhno for various remarks

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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. 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. 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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