A characterization of symmetric cones through pseudoinverse maps

Chifune Kai; Takaaki Nomura

doi:10.2969/jmsj/1160745822

A characterization of symmetric cones through pseudoinverse maps

Chifune Kai, Takaaki Nomura

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	195-215
Number of pages	21
Journal	Journal of the Mathematical Society of Japan
Volume	57
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/1160745822
Publication status	Published - 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "A characterization of symmetric cones through pseudoinverse maps",

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.",

author = "Chifune Kai and Takaaki Nomura",

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A characterization of symmetric cones through pseudoinverse maps

Abstract

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