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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Uniform primeness of the Jordan algebra
of symmetric operators


Authors: L. L. Stachó and B. Zalar
Journal: Proc. Amer. Math. Soc. 126 (1998), 2241-2247
MSC (1991): Primary 46L70, 15A45, 15A60, 16W10, 17C65
MathSciNet review: 1487342
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Abstract: In this note we establish the best possible constant for the general lower estimate for the Jacobson - McCrimmon operator on the algebra of symmetric operators acting on a Hilbert space.


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Additional Information

L. L. Stachó
Affiliation: Bolyai Intézet, Aradi Vértanuk tere 1, 6720 Szeged, Hungary
Email: stacho@math.u-szeged.hu

B. Zalar
Affiliation: University of Maribor, Faculty of Civil Engineering, Department of Basic Sciences, Smetanova 17, 62000 Maribor, Slovenija
Email: borut.zalar@uni-mb.si or borut.zalar@uni-lj.si

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04769-8
PII: S 0002-9939(98)04769-8
Keywords: Hilbert space, bounded operators, symmetric operators, Jordan algebra, Jacobson-McCrimmon operator, prime algebra
Received by editor(s): January 19, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society