Positive Semigroups of Kernel Operators

Positive Semigroups of Kernel Operators Extending results of Davies and of Keicher on ℓ p we show that the peripheral point spectrum of the generator of a positive bounded C 0-semigroup of kernel operators on L p is reduced to 0. It is shown that this implies convergence to an equilibrium if the semigroup is also irreducible and the fixed space non-trivial. The results are applied to elliptic operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Positive Semigroups of Kernel Operators

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Publisher
Birkhäuser-Verlag
Copyright
Copyright © 2007 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-007-2137-z
Publisher site
See Article on Publisher Site

Abstract

Extending results of Davies and of Keicher on ℓ p we show that the peripheral point spectrum of the generator of a positive bounded C 0-semigroup of kernel operators on L p is reduced to 0. It is shown that this implies convergence to an equilibrium if the semigroup is also irreducible and the fixed space non-trivial. The results are applied to elliptic operators.

Journal

PositivitySpringer Journals

Published: Oct 29, 2007

References

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