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Manifolds of frames of projectors

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Publication:1139314
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DOI10.1016/0024-3795(80)90215-3zbMath0433.58011OpenAlexW2048279538MaRDI QIDQ1139314

Zdislav V. Kovarik

Publication date: 1980

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90215-3


zbMATH Keywords

Banach manifoldcontinuous and geodesic arcsdecompositions of 1 into n commuting idempotents on a Banach space


Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Special classes of linear operators (47B99) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)


Related Items (6)

Geodesics and near-geodesics in the manifolds of projector frames ⋮ A note on the differentiable structure of generalized idempotents ⋮ The set of partial isometries as a quotient Finsler space ⋮ Strongly smooth paths of idempotents ⋮ Perturbation of invariant subspaces ⋮ Characterization of similarities between two n-frames of projectors



Cites Work

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  • A block Gersgorin theorem
  • Manifolds of linear involutions
  • The rotation of eigenvectors by a perturbation
  • Sums of projections


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