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Uniform primeness of the Jordan algebra of symmetric operators
Authors:L. L. Stachó     B. Zalar
Affiliation:Bolyai Intézet, Aradi Vértanuk tere 1, 6720 Szeged, Hungary ; University of Maribor, Faculty of Civil Engineering, Department of Basic Sciences, Smetanova 17, 62000 Maribor, Slovenija
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.

Keywords:Hilbert space   bounded operators   symmetric operators   Jordan algebra   Jacobson-McCrimmon operator   prime algebra
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