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Differential structure of the Thompson components of selfadjoint operators
Author(s):
Guillermina
Fongi;
Alejandra
Maestripieri
Journal:
Proc. Amer. Math. Soc.
136
(2008),
613-622.
MSC (2000):
Primary 47B15;
Secondary 58B20
Posted:
November 2, 2007
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Abstract:
Different equivalence relations are defined in the set  of selfadjoint operators of a Hilbert space  in order to extend a very well known relation in the cone of positive operators. As in the positive case, for  the equivalence class  admits a differential structure, which is compatible with a complete metric defined on  . This metric coincides with the Thompson metric when  is positive.
References:
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Additional Information:
Guillermina
Fongi
Affiliation:
Instituto Argentino de Matemática, CONICET, Saavedra 15, 1083 Buenos Aires, Argentina
Email:
fongig@fceia.unr.edu.ar
Alejandra
Maestripieri
Affiliation:
Instituto de Ciencias, Universidad Nacional General Sarmiento, 1613 Los Polvorines, Argentina
Email:
amaestri@ungs.edu.ar
DOI:
10.1090/S0002-9939-07-09133-2
PII:
S 0002-9939(07)09133-2
Keywords:
Selfadjoint operators,
Thompson part metric,
differential geometry.
Received by editor(s):
December 4, 2006
Posted:
November 2, 2007
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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