Geodesic
A strongly diagonal power of algebraic order bounded disjointness preserving operators
Boulabiar, Karim1 ; Buskes, Gerard2 ; Sirotkin, Gleb3
1 IPEST, Université de Carthage, BP 51, 2070-La Marsa, Tunisia
2 Department of Mathematics, University of Mississippi, MS 38677
3 Department of Mathematics, Northern Illinois University, DeKalb, IL 60115
Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 94-98 Cet article a éte moissonné depuis la source American Mathematical Society

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An order bounded disjointness preserving operator $T$ on an Archimedean vector lattice is algebraic if and only if the restriction of $T^{n!}$ to the vector sublattice generated by the range of $T^{m}$ is strongly diagonal, where $n$ is the degree of the minimal polynomial of $T$ and $m$ is its ‘valuation’.
DOI : 10.1090/S1079-6762-03-00116-1

Boulabiar, Karim 1 ; Buskes, Gerard 2 ; Sirotkin, Gleb 3

1 IPEST, Université de Carthage, BP 51, 2070-La Marsa, Tunisia
2 Department of Mathematics, University of Mississippi, MS 38677
3 Department of Mathematics, Northern Illinois University, DeKalb, IL 60115 
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Boulabiar, Karim; Buskes, Gerard; Sirotkin, Gleb. A strongly diagonal power of algebraic order bounded disjointness preserving operators. Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 94-98. doi: 10.1090/S1079-6762-03-00116-1

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