On the index of Fredholm pairs of idempotents

DOI10.1007/s10114-009-7067-1zbMath1187.47015OpenAlexW2087619636MaRDI QIDQ1034293

Yan-Ni Dou, Hong-Ke Du, Yue-Qing Wang

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7067-1

zbMATH Keywords

positive operatororthogonal projectionHall conductanceblock-operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (13)

An interpolation property of reflections involving orthogonal projections ⋮ General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections ⋮ The structures and decompositions of symmetries involving idempotents ⋮ Certain properties of orthogonal projections ⋮ Similarity between two projections ⋮ General explicit descriptions for two classes of symmetries involving idempotents ⋮ Intertwining Operators between Two Orthogonal Projections ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Characterizations of the reflection operators ⋮ Unitaries permuting two orthogonal projections ⋮ Spectra of anticommutator for two orthogonal projections ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ On a conjecture by Mbekhta about best approximation by polar factors

Cites Work

• Stability of the index of a semi-Fredholm complex of Banach spaces
• The index of a pair of projections
• On the minimum gap and the angle between two subspaces
• The Euler characteristic is stable under compact perturbations
• A new characterization of gaps between two subspaces
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