Identity of Taylor's joint spectrum and Dash's joint spectrum
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Isometries and automorphisms of the spaces of spinors.
F. J. Hervés, J. M. Isidro (1992)
Revista Matemática de la Universidad Complutense de Madrid
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.
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