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Almost Disjointness Preservers

Published online by Cambridge University Press:  20 November 2018

Timur Oikhberg  and
Pedro Tradacete
Timur Oikhberg
Affiliation:
Dept. of Mathematics, University of Illinois, Urbana IL 61801, USA e-mail: oikhberg@illinois.edu
Pedro Tradacete
Affiliation:
Mathematics Department, Universidad Carlos III de Madrid, E-28911 Leganés, Madrid, Spain e-mail: ptradace@math.uc3m.es
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Abstract

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We study the stability of disjointness preservers on Banach lattices. In many cases, we prove that an “almost disjointness preserving” operator is well approximable by a disjointness preserving one. However, this approximation is not always possible, as our examples show.

Keywords

47B3846B42Banach latticedisjointness preserving
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 69 , Issue 3 , 01 June 2017 , pp. 650 - 686
Copyright
Copyright © Canadian Mathematical Society 2017

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