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Zbl 0891.47024
Abramovich, Yuri A.; Kitover, Arkady K.
A solution to a problem on invertible disjointness preserving operators. (English)
[J] Proc. Am. Math. Soc. 126, No.5, 1501-1505 (1998). ISSN 0002-9939; ISSN 1088-6826/e

Summary: We construct an invertible disjointness preserving operator $T$ on a normed lattice such that $T^{-1}$ is not disjointness preserving.
MSC 2000:
*47B60 Operators on ordered spaces

Keywords: vector lattice; normed lattice; disjointness preserving operators; band preserving operators; invertible operators

Cited in: Zbl 0973.47030

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