ADJACENCY PRESERVING MAPS ON THE SPACEOF SELF-ADJOINT OPERATORS

Citation:

DI Qinghui,DU Xuefeng,HOU Jinchuan.ADJACENCY PRESERVING MAPS ON THE SPACEOF SELF-ADJOINT OPERATORS[J].Chinese Annals of Mathematics B,2005,26(2):305~314
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Authors:

DI Qinghui; DU Xuefeng;HOU Jinchuan

Foundation:

Project supported by the National Natural Science Foundation of China (No.10471082) and the Shanxi Provincial Natural Science Foundation of China.
Abstract: The authors extend Hua’s fundamental theorem of the geometry of Hermitian matrices to the infinite-dimensional case. An application to characterizing the corresponding Jordan ring automorphism is also presented.

Keywords:

Self-adjoint operators, Adjacency, Non-linear maps

Classification:

47H20, 47B49, 47B25
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