منابع مشابه
On the manifold of complemented principal inner ideals in JB∗-triples
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 t...
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Complementarity properties of Peircediagonalizable linear transformations on Euclidean Jordan algebras M. Seetharama Gowda a , J. Tao b & Roman Sznajder c a Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD, 21250, USA b Department of Mathematics and Statistics, Loyola University Maryland, Baltimore, MD, 21210, USA c Department of Mathematics, Bowi...
متن کاملInner ideals and intrinsic subspaces in linear pair geometries
We introduce the notion of intrinsic subspaces of linear and affine pair geometries, which generalizes the one of projective subspaces of projective spaces. We prove that, when the affine pair geometry is the projective geometry of a Lie algebra introduced in [BeNe04], such intrinsic subspaces correspond to inner ideals in the associated Jordan pair, and we investigate the case of intrinsic sub...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1996
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0051