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Invertible disjointness preserving operators

Published online by Cambridge University Press:  20 January 2009

C. B. Huijsmans  and
B. De Pagter
C. B. Huijsmans
Affiliation:
Department of Mathematics, University of Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands
B. De Pagter
Affiliation:
Faculty of Technical Mathematics and Computer Science, Delft University of Technology, P.O. Box 356, 2500 AJ Delft, The Netherlands
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Abstract

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It is shown that an invertible disjointness preserving operator from a uniformly complete vector lattice onto a normed vector lattice has a disjointness preserving inverse and is necessarily order bounded.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 125 - 132
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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