Full paper in PDF:
$%F. J. Hervés and J. M. Isidro, Isometries and automorphisms of the spaces of
spinors, Rev. Mat. Univ. Complut. Madrid 5 (1992), no. 2, 3, 194–200.%$
Isometries and Automorphisms of the Spaces of Spinors
The relationships between the JB*-triple structure of a complex spin factor and the structure of the Hilbert space associated to are discussed. Every surjective linear isometry of can be uniquely represented in the form for some conjugation commuting unitary operator on and some , . Automorphisms of are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in and the orthogonality relations among them.
2000 Mathematics Subject Classification: 32M15, 47C10, 46G20.