A characterization of symmetric cones through pseudoinverse maps
KAI, Chifune ; NOMURA, Takaaki
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 195-215 / Harvested from Project Euclid
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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.
Publié le : 2005-01-14
Classification:  homogeneous cone,  symmetric cone,  clan,  pseudoinverse map,  tube domain,  32M15,  22E30,  43A85 
@article{1160745822,
     author = {KAI, Chifune and NOMURA, Takaaki},
     title = {A characterization of symmetric cones through pseudoinverse maps},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 195-215},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745822}
}

KAI, Chifune; NOMURA, Takaaki. A characterization of symmetric cones through pseudoinverse maps. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  195-215. http://gdmltest.u-ga.fr/item/1160745822/