Some remarks on disjointness preserving operators |
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| Authors: | C. B. Huijsmans B. De Pagter |
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| Affiliation: | (1) Department of Mathematics, University of Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands;(2) Faculty of Technical Mathematics and Informatics, Department of Pure Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands |
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| Abstract: | ![]()
In this note we present a simple proof of the following results: if T: E  E is a lattice homomorphism on a Banach lattice E, then: i)  (T)={1} implies T=I; and ii) r(T–I)<1 implies T Z(E), the center of E. |
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| Keywords: | 46A40 47B60 |
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