Pencils of pairs of projections

DOI10.4064/sm171222-13-7OpenAlexW2962775804MaRDI QIDQ5237152

Guo Xing Ji, Miao-Miao Cui

Publication date: 16 October 2019

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01418

zbMATH Keywords

von Neumann algebraself-adjoint operatorpencilpair of projections

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (2)

Characterizations of generalized pencils of pairs of projections ⋮ Anti-selfadjoint operators as commutators of projections

Cites Work

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• Operators which are the difference of two projections
• Essentially commuting projections
• Pairs of projections: geodesics, Fredholm and compact pairs
• Products of orthogonal projections and polar decompositions
• Pairs of orthogonal projections with a fixed difference
• The geometry of spaces of projections in \(C^*\)-algebras
• The index of a pair of projections
• On pairs of projections in a Hilbert space
• Fredholm properties of the difference of orthogonal projections in a Hilbert space
• Essentially orthogonal subspaces
• Two Subspaces
• The $C^*$-algebra generated by two projections.
• On sums of projections

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