Differential geometry of systems of projections in Banach algebras

DOI10.2140/pjm.1990.143.209zbMath0734.46031OpenAlexW2038344745WikidataQ115230755 ScholiaQ115230755MaRDI QIDQ810827

Gustavo Corach, Horacio Porta, Lázaro Recht

Publication date: 1990

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1990.143.209

zbMATH Keywords

Banach algebradifferential geometryprincipal bundleconnection on the tangent bundlediscrete union of homogeneous spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05) Connections (general theory) (53C05)

Related Items (15)

On the geometry of the set of square roots of elements in \(C^*\)- algebras ⋮ The geometry of the space of selfadjoint invertible elements in a \(C^*\)-algebra ⋮ Geometric operator inequalities ⋮ A note on the differentiable structure of generalized idempotents ⋮ Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve ⋮ The compatible Grassmannian ⋮ The set of partial isometries as a quotient Finsler space ⋮ Similarity classification and properties of some extended holomorphic curves ⋮ Strongly smooth paths of idempotents ⋮ A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators ⋮ Banach-Lie groupoids and generalized inversion ⋮ The Stiefel bundle of a Banach algebra ⋮ Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves ⋮ Projective spaces of a \(C^*\)-algebra ⋮ Differential geometry of spaces of relatively regular operators

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