Isometries and automorphisms of the spaces of spinors.
Hervés, F. J. ; Isidro, J. M.
Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992), p. 194-200 / Harvested from Biblioteca Digital de Matemáticas
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The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.

Publié le : 1992-01-01
DMLE-ID : 769 
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     title = {Isometries and automorphisms of the spaces of spinors.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {5},
     year = {1992},
     pages = {194-200},
     zbl = {0816.46045},
     mrnumber = {MR1195079},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44295}
}

Hervés, F. J.; Isidro, J. M. Isometries and automorphisms of the spaces of spinors.. Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992) pp. 194-200. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44295/