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Uniform primeness of the Jordan algebra of symmetric operators
Author(s):
L.
L.
Stachó;
B.
Zalar
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2241-2247.
MSC (1991):
Primary 46L70, 15A45, 15A60, 16W10, 17C65
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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.
References:
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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