On Grassmannians associated with JB\(^*\)-triples

DOI10.1007/s002090000192zbMath0988.46048MaRDI QIDQ5932132

Wilhelm Kaup

Publication date: 6 November 2001

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Grassmannian\(JB^*\)-triplecomplemented principal inner idealssymmetric complex Banach manifoldtopological direct summands

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (14)

Surjective isometries between unitary sets of unital JB\(^\ast \)-algebras ⋮ Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples ⋮ A projection-less approach to Rickart Jordan structures ⋮ Weakly compact orthogonality preservers on C\(^*\)-algebras ⋮ Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras ⋮ Von Neumann regularity and quadratic conorms in JB\(^*\)-triples and C\(^*\)-algebras ⋮ Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples ⋮ Inner ideals, compact tripotents and Chebyshev subtriples of \(\mathrm{JB}^*\)-triples and \(\mathrm C^*\)-algebras ⋮ Parallel submanifolds of complex projective space and their normal holonomy ⋮ On the manifold of tripotents in \(JB^*\)-triples ⋮ Banach manifolds of algebraic elements in the algebra \(\mathcal L(H)\) of bounded linear operators ⋮ Analytic bundle structure on the idempotent manifold ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple

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