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Abramovich, Yuri A.; Kitover, Arkady K.

A solution to a problem on invertible disjointness preserving operators. (English) Zbl 0891.47024

Proc. Am. Math. Soc. 126, No. 5, 1501-1505 (1998).
Summary: We construct an invertible disjointness preserving operator \(T\) on a normed lattice such that \(T^{-1}\) is not disjointness preserving.

Cited in 1 Review
Cited in 6 Documents

MSC:

47B60 Linear operators on ordered spaces

Keywords:

vector lattice; normed lattice; disjointness preserving operators; band preserving operators; invertible operators
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\textit{Y. A. Abramovich} and \textit{A. K. Kitover}, Proc. Am. Math. Soc. 126, No. 5, 1501--1505 (1998; Zbl 0891.47024)
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References:

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