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Jordan automorphic generators of Euclidean Jordan Algebras
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Abstract
In this paper we show that the Koecher's Jordan automorphicgenerators of one variable on an irreducible symmetric coneare enough to determine the elements of scalarmultiple of the Jordan identity on the attached simple EuclideanJordan algebra. Its various geometric, Jordan and Lie theoreticinterpretations associated to the Cartan-Hadamard metric andCartan decomposition of the linear automorphisms group of asymmetric cone are given with validity on infinite-dimensional
참고문헌 (20)
- "The geometry of Jordan and Lie structures", 1754 (2000), Springer-Verlag, Berlin
- "Analysis on symmetric cones" (1994), The Clarendon Press Oxford University Press
- "A Jordan-algebraic approach topotential-reduction algorithms", 239(1), pp.117~129 (2002)
- "Primal-dual algorithms andinfinite-dimen-sional Jordan algebras of finite rank", 97(3), pp.471~493 (2003)
- "A new positive definite geometric meanof two positive definite matrices", 251, pp.1~20 (1997)
- "Self-scaled barriers for semidefiniteprogramming"
- "Self-scaled barrier functions onsymmetric cones and their classification", 2(2), pp.121~143 (2002)
- R. A. Hauser, "Self-scaled barriers for irreduciblesymmetric cones", 12(3), pp.715~723 (2002)
- A. Kalliterakis, "Estimations a l'infini des fonctions de Besselassociees aux representations d'une algebre de Jordan", 11(2), pp.273~303 (2001)
- "The Minnesota notes on Jordan algebras and their applications annotated and with a preface by Aloys Krieg and Sebastian Walcher", 1710 (1999), Springer-Verlag, Berlin
- "Lecture Notes in Mathematics" (1980), 805. Springer-Verlag
- "Fundamentals of differential geometry", 191 (1999), Springer-Verlag, New York
- "The geometric mean, matrices,metrics, and more", 108(9), pp.797~812 (2001)
- "Means on dyadic symmetric sets and polardecompositions", 74, pp.135~150 (2004)
- "Geometric means on symmetric cones", 75(1), pp.39~45 (2000)
- "Applications of geometric means on symmetric cones", 319(3), pp.457~468 (2001)
- "Best approximation in Riemannian geodesicsubmanifolds of positive definite matrices", 56(4), pp.776~793 (2004)
- Y. Lim, "Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications", 15(4), pp.639~644 (2003)
- K. -H. Neeb, "A Cartan-Hadamard theorem for Banach-Finslermanifolds", 95, pp.115~156 (2002)
- W. Rudin, "McGraw-Hill Series in HigherMathematics" (1973), McGraw-Hill Book Co.
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