Abstract
The set IM of Neher’s classes of tripotents in an arbitrary JB*-triple Z is considered and a natural complex-analytic Banach manifold structure is defined on it. The relationship between IM and the Grassmann manifold of all complemented principal inner ideals in Z is studied in detail and the smooth complete vector fields on IM are characterized as smooth complete equivariant vector fields on the manifold M of tripotents of Z.
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