Separation properties for Carleman operators on Banach Lattices

Separation properties for Carleman operators on Banach Lattices Among the Carleman operators on Banach lattices, we consider the operators that are decomposition operators or lattice homormphisms. Using a generalization of an atom, characterizations for these two classes of operators on Banach lattices with order units are provided. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Separation properties for Carleman operators on Banach Lattices

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2003 by Kluwer Academic Publishers
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.
10.1023/A:1025818931354
Publisher site
See Article on Publisher Site

Abstract

Among the Carleman operators on Banach lattices, we consider the operators that are decomposition operators or lattice homormphisms. Using a generalization of an atom, characterizations for these two classes of operators on Banach lattices with order units are provided.

Journal

PositivitySpringer Journals

Published: Oct 17, 2004

References

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