scholarly journals CHARACTERIZATION OF GLOBALLY-UNIQUELY-SOLVABLE PROPERTY OF A CONE-PRESERVING Z-TRANSFORMATION ON EUCLIDEAN JORDAN ALGEBRAS

2016 ◽  
Vol 34 (3_4) ◽  
pp. 309-317 ◽  
Author(s):  
YOON J. SONG
Keyword(s):  
Jordan Algebras ◽  
Euclidean Jordan Algebras ◽  
Globally Uniquely Solvable Property ◽  
Z Transformation

scholarly journals Some inertia theorems in Euclidean Jordan algebras

2009 ◽  
Vol 430 (8-9) ◽  
pp. 1992-2011 ◽  
Author(s):  
M. Seetharama Gowda ◽  
Jiyuan Tao ◽  
Melania Moldovan
Keyword(s):  
Jordan Algebras ◽  
Euclidean Jordan Algebras

Equivalent norms on Banach Jordan algebras

1979 ◽  
Vol 86 (2) ◽  
pp. 261-270 ◽  
Author(s):  
M. A. Youngson
Keyword(s):  
Jordan Algebra ◽  
Sufficient Conditions ◽  
Equivalent Norm ◽  
Jordan Algebras ◽  
The Self ◽  
Equivalent Norms ◽  
Positive Elements ◽  
Definition Of ◽  
Necessary And Sufficient

1. Introduction. Recently Kaplansky suggested the definition of a suitable Jordan analogue of B*-algebras, which we call J B*-algebras (see (10) and (11)). In this article, we give a characterization of those complex unital Banach Jordan algebras which are J B*-algebras in an equivalent norm. This is done by generalizing results of Bonsall ((3) and (4)) to give necessary and sufficient conditions on a real unital Banach Jordan algebra under which it is the self-adjoint part of a J B*-algebra in an equivalent norm. As a corollary we also obtain a characterization of the cones in a Banach Jordan algebra which are the set of positive elements of a J B*-algebra.

Some New Results for Linear Transformations on Euclidean Jordan Algebras

2009 ◽  
Author(s):  
Jiyuan Tao ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Jordan Algebras ◽  
Linear Transformations ◽  
Euclidean Jordan Algebras
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