Open Access
January, 2005 A characterization of symmetric cones through pseudoinverse maps
Chifune KAI, Takaaki NOMURA
J. Math. Soc. Japan 57(1): 195-215 (January, 2005). DOI: 10.2969/jmsj/1160745822

Abstract

In this paper we characterize symmetric cones among homogeneous convex cones by the condition that the corresponding tube domains are mapped onto the dual tube domains under pseudoinverse maps with parameter. The condition also restricts the parameter to specific ones.

Citation

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Chifune KAI. Takaaki NOMURA. "A characterization of symmetric cones through pseudoinverse maps." J. Math. Soc. Japan 57 (1) 195 - 215, January, 2005. https://doi.org/10.2969/jmsj/1160745822

Information

Published: January, 2005
First available in Project Euclid: 13 October 2006

zbMATH: 1086.32021
MathSciNet: MR2114729
Digital Object Identifier: 10.2969/jmsj/1160745822

Subjects:
Primary: 32M15
Secondary: 22E30 , 43A85

Keywords: clan , homogeneous cone , pseudoinverse map , symmetric cone , tube domain

Rights: Copyright © 2005 Mathematical Society of Japan

Vol.57 • No. 1 • January, 2005
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