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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Generalized inverses and Douglas equations
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by M. Laura Arias, Gustavo Corach and M. Celeste Gonzalez PDF
Proc. Amer. Math. Soc. 136 (2008), 3177-3183 Request permission

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.
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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
  • Received by editor(s): April 18, 2007
  • Received by editor(s) in revised form: July 13, 2007
  • Published electronically: May 1, 2008
  • Additional Notes: The authors were supported in part by UBACYT I030, CONICET PIP 5272
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3177-3183
  • MSC (2000): Primary 47A50, 15A09
  • DOI: https://doi.org/10.1090/S0002-9939-08-09298-8
  • MathSciNet review: 2407082