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Generalized inverses and Douglas equations
Author(s):
M.
Laura
Arias;
Gustavo
Corach;
M.
Celeste
Gonzalez
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3177-3183.
MSC (2000):
Primary 47A50, 15A09
Posted:
May 1, 2008
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Abstract:
In this paper we study the general concept of reduced solution for a Douglas type equation and we parametrize these solutions using generalized inverses. On the other hand, we characterize different sorts of generalized inverses by means of solutions of Douglas type equations.
References:
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Additional Information:
M.
Laura
Arias
Affiliation:
Instituto Argentino de Matematica, Saavedra 15, 1083 Buenos Aires, Argentina
Email:
ml_arias@uolsinectis.com.ar
Gustavo
Corach
Affiliation:
Instituto Argentino de Matemática, Saavedra 15, 1083 Buenos Aires, Argentina
Email:
gcorach@fi.uba.ar
M.
Celeste
Gonzalez
Affiliation:
Instituto Argentino de Matemática, Saavedra 15, 1083 Buenos Aires, Argentina
Email:
celegonzalez@gmail.com
DOI:
10.1090/S0002-9939-08-09298-8
PII:
S 0002-9939(08)09298-8
Keywords:
Douglas equation,
generalized inverse,
oblique projections
Received by editor(s):
April 18, 2007,
Received by editor(s) in revised form:
July 13, 2007
Posted:
May 1, 2008
Additional Notes:
The authors were supported in part by UBACYT I030, CONICET PIP 5272
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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