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Bicircular projections and characterization of Hilbert spaces
Author(s):
László
L.
Stachó;
Borut
Zalar
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3019-3025.
MSC (2000):
Primary 47L70;
Secondary 17C65
Posted:
June 2, 2004
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Additional information
Abstract:
We prove that every JB* triple with rank one bicircular projection is a direct sum of two ideals, one of which is isometrically isomorphic to a Hilbert space.
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Additional Information:
László
L.
Stachó
Affiliation:
University of Szeged, Bolyai Institute, Aradi Vértanúk tere 1, 6720 Szeged, Hungary
Email:
stacho@math.u-szeged.hu
Borut
Zalar
Affiliation:
University of Maribor, Smetanova 17, 2000 Maribor, Slovenia
Email:
borut.zalar@uni-mb.si
DOI:
10.1090/S0002-9939-04-07333-2
PII:
S 0002-9939(04)07333-2
Keywords:
JB* triple,
bicircular projection,
contractive projection,
Hilbert space,
Peirce decomposition
Received by editor(s):
February 19, 2002
Received by editor(s) in revised form:
March 26, 2003
Posted:
June 2, 2004
Communicated by:
David R. Larson
Copyright of article:
Copyright
2004,
American Mathematical Society
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