Representations of special Jordan triple systems of all symmetric and hermitian n by n matrices

2021 ◽  
pp. 1-13
Author(s):  
Hader A. Elgendy
Keyword(s):  
Triple Systems ◽  
Jordan Triple Systems

Von Neumann regularity in Jordan triple systems

1972 ◽  
Vol 23 (1) ◽  
pp. 589-593 ◽  
Author(s):  
Kurt Meyberg
Keyword(s):  
Von Neumann ◽  
Triple Systems ◽  
Jordan Triple Systems

Primary Jordan triple systems. III

1985 ◽  
Vol 26 (1) ◽  
pp. 55-64 ◽  
Author(s):  
E. I. Zel'manov
Keyword(s):  
Triple Systems ◽  
Jordan Triple Systems

JORDAN SYMMETRIC SPACES

2009 ◽  
Vol 02 (03) ◽  
pp. 407-415
Author(s):  
Cho-Ho Chu
Keyword(s):  
Symmetric Spaces ◽  
Hermitian Symmetric Spaces ◽  
Triple Systems ◽  
Infinite Dimensional ◽  
Jordan Triple Systems ◽  
Riemannian Symmetric Spaces

We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.

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