Outdated Archival Version

These pages are not updated anymore. They reflect the state of 20 August 2005. For the current production of this journal, please refer to http://www.math.psu.edu/era/.

This journal is archived by the American Mathematical Society. The master copy is available at http://www.ams.org/era/

An order bounded disjointness preserving operator $T$ on an Archi\-medean 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 `\textit{valuation}'.

Copyright 2003 American Mathematical Society

TeX source (38.3K)
DVI (44.5K)
PostScript (122.3K)

Article Info

• ERA Amer. Math. Soc. 09 (2003), pp. 142-151
• Publisher Identifier: S 1079-6762(03)00122-7
• 2000 Mathematics Subject Classification. Primary 32M15; Secondary 22E46, 46E22
• Key words and phrases. Bergman kernel, symmetric domain, $3$-graded Lie algebra
• Received by editors October 11, 2001
• Received by editors in revised form October 6, 2003
• Posted on December 17, 2003
• Communicated by Efim Zelmanov
• Comments (When Available)

M. P. de Oliveira

Department of Mathematics, University of Toronto, Canada

E-mail address: mpdeoliv@math.toronto.edu

The author has been partially supported by FAPESP.