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ORDERED C$^\ast$-MODULES

Published online by Cambridge University Press:  18 April 2006

DAVID P. BLECHER  and
WEND WERNER
DAVID P. BLECHER
Affiliation:
Department of Mathematics, University of Houston, Houston, TX 77204-3008, [email protected]
WEND WERNER
Affiliation:
Mathematisches Institut, Einsteinstrasse 62, D-48149 Münster, [email protected]
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Abstract

In this first part of a study of ordered operator spaces, we develop the basic theory of 'ordered C*-bimodules'. A crucial role is played by 'open tripotents', a JB*-triple variant of Akemann's notion of open projection.

Keywords

46L0847L07 (primary)46L0747B6047L05 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 3 , May 2006 , pp. 682 - 712
Copyright
2006 London Mathematical Society

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Footnotes

This research was supported in part by the SFB 487 Geometrische Strukturen in der Mathematik, at the Westfälische Wilhelms-Universität, supported by the Deutsche Forschungsgemeinschaft. Blecher was also supported in part by a grant from the National Science Foundation.