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A solution to a problem on invertible disjointness preserving operators

Author(s): Yuri A. Abramovich; Arkady K. Kitover
Journal: Proc. Amer. Math. Soc. 126 (1998), 1501-1505.
MSC (1991): Primary 47B60
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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: 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
Copyright of article: Copyright 1998, American Mathematical Society

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