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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A solution to a problem on invertible disjointness preserving operators


Authors: Yuri A. Abramovich and Arkady K. Kitover
Journal: Proc. Amer. Math. Soc. 126 (1998), 1501-1505
MSC (1991): Primary 47B60
MathSciNet review: 1451787
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Abstract: We construct an invertible disjointness preserving operator $T$ on a normed lattice such that $T^{-1}$ is not disjointness preserving.


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Additional Information

Yuri A. Abramovich
Affiliation: Department of Mathematics, Indiana University/Purdue University–Indianapolis, 402 Blackford Street, Indianapolis, Indiana 46202
Email: yabramovich@math.iupui.edu

Arkady K. Kitover
Affiliation: Department of Mathematics, Community College of Philadelphia, Philadelphia, Pennsylvania 19130
Email: akitover@ccp.cc.pa.us

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04318-4
PII: S 0002-9939(98)04318-4
Keywords: Vector lattice, normed lattice, disjointness preserving operators, band preserving operators, invertible operators
Received by editor(s): November 7, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society