Segments of bounded linear idempotents on a Hilbert space

DOI10.1016/j.jfa.2005.03.017zbMath1090.46016OpenAlexW2061398446MaRDI QIDQ2583797

Julien Giol

Publication date: 18 January 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.03.017

zbMATH Keywords

idempotentprojectioncommon complementHilbert space geometryhomotopic idempotentspiecewise affine homotopy

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items (4)

Path connectivity of \(k\)-generalized projectors ⋮ A simplification of the Kovarik formula ⋮ Products of idempotent operators ⋮ Path connectivity of idempotents on a Hilbert space

Cites Work

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• Polynômes de degré minimum connectant deux projections dans une algèbre de Banach. (Polynomials of minimal degree connecting two projections in a Banach algebra)
• Common complements of two subspaces of a Hilbert space
• Polynomial Connections between Projections in Banach Algebras
• Idempotents in Banach Algebras
• Projections in Real Banach Algebras
• POLYNOMIAL AND POLYGONAL CONNECTIONS BETWEEN IDEMPOTENTS IN FINITE-DIMENSIONAL REAL ALGEBRAS
• Two Subspaces
• The Connectedness of the Orthogonal Group in Hilbert Space

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