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.