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On orthosymmetric bilinear maps

On orthosymmetric bilinear maps We use a theorem by Buskes–Kusraev on the automatic symmetry of an order bounded orthosymmetric bilinear map to give a complete description of order bounded derivations on a pseudo f-algebra. This generalizes a well known theorem by Colville, Davis, and Keimel. Then, we investigate the commutator [, ]Φ of an orthosymmetric bilinear map using an order theoretical approach. This leads to a generalization of the Buskes–Kusraev result to a larger class of orthosymmetric bilinear maps. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

On orthosymmetric bilinear maps

Positivity , Volume 14 (1) – Apr 2, 2009

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-009-0009-4
Publisher site
See Article on Publisher Site

Abstract

We use a theorem by Buskes–Kusraev on the automatic symmetry of an order bounded orthosymmetric bilinear map to give a complete description of order bounded derivations on a pseudo f-algebra. This generalizes a well known theorem by Colville, Davis, and Keimel. Then, we investigate the commutator [, ]Φ of an orthosymmetric bilinear map using an order theoretical approach. This leads to a generalization of the Buskes–Kusraev result to a larger class of orthosymmetric bilinear maps.

Journal

PositivitySpringer Journals

Published: Apr 2, 2009

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