The compatible Grassmannian

DOI10.1016/j.difgeo.2013.11.004zbMath1283.58009arXiv1208.6571OpenAlexW2964303622WikidataQ115356410 ScholiaQ115356410MaRDI QIDQ389344

Esteban Andruchow, Eduardo Chiumiento, Maria Eugenia Di Iorio y Lucero

Publication date: 20 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6571

zbMATH Keywords

Grassmanniancompatible subspacerestricted Grassmannian

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items

Operators which preserve a positive definite inner product, General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections, Proper subspaces and compatibility

Cites Work

• Stiefel and Grassmann manifolds in quantum chemistry
• Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators
• Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry
• Differential geometry of systems of projections in Banach algebras
• The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
• Hopf-Rinow theorem in the Sato Grassmannian
• Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian
• The relationship between a commutative Banach algebra and its maximal ideal space
• The geometry of spaces of projections in \(C^*\)-algebras
• The index of a pair of projections
• On projections in a space with an indefinite metric
• Compact linear operators on functional spaces with two norms
• Banach Lie-Poisson spaces and reduction
• Symplectic leaves in real Banach Lie-Poisson spaces
• The group of L²-isometries on H¹₀
• Sard's approximation processes and oblique projections
• Idempotents, their HERMITian Components, and Subspaces in Positionp of a HILBERT Space
• Minimality of Geodesics in Grassmann Manifolds
• Approximation and Variance
• Symmetrizable linear transformations
• Generalized Schur complements and oblique projections
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