On geometric structure of generalized projections in \(C^*\)-algebras

DOI10.1007/s11425-017-9111-7zbMath1416.46056OpenAlexW2794491155MaRDI QIDQ1656889

Guo Xing Ji, Miao-Miao Cui

Publication date: 10 August 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9111-7

zbMATH Keywords

geodesicsBanach manifoldgeneralized projections

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General theory of (C^*)-algebras (46L05) Geodesics in global differential geometry (53C22) Linear operators in (C^*)- or von Neumann algebras (47C15) Infinite-dimensional manifolds (46T05)

Cites Work

• A note on the differentiable structure of generalized idempotents
• Pairs of projections: geodesics, Fredholm and compact pairs
• The geometry of spaces of projections in \(C^*\)-algebras
• The index of a pair of projections
• Differential geometry of partial isometries and partial unitaries
• Projective spaces of a \(C^*\)-algebra
• The spectral characterization of generalized projections
• Partial isometries
• On the geometry of generalized inverses
• Minimality of Geodesics in Grassmann Manifolds
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