Similarity between two projections

DOI10.1007/s00020-017-2414-6OpenAlexW2963298829MaRDI QIDQ1693570

Albrecht Böttcher, Barry Simon, Ilya M. Spitkovskij

Publication date: 31 January 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08937

zbMATH Keywords

intertwining operatorstwo projections theoremsimilar projectionsintertwining unitaries

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Representation theory of linear operators (47A67) Representations of topological algebras (46H15) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (10)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ An interpolation property of reflections involving orthogonal projections ⋮ The structures and decompositions of symmetries involving idempotents ⋮ Unnamed Item ⋮ General explicit descriptions for two classes of symmetries involving idempotents ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Characterizations of the reflection operators ⋮ Anti-selfadjoint operators as commutators of projections ⋮ Properties of two unitary operator functions involving idempotents ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

• Unnamed Item
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• Charge deficiency, charge transport and comparison of dimensions
• The index of a pair of projections
• Once more on algebras generated by two projections
• Unitaries permuting two orthogonal projections
• Extension theorems for invertibility symbols in Banach algebras
• Extension theorems for Fredholm and invertibility symbols
• General explicit descriptions for intertwining operators and direct rotations of two orthogonal projections
• On the perturbation theory of closed linear operators
• From Mathematical Physics to Analysis: A Walk in Barry Simon's Mathematical Garden, II
• Two Subspaces
• A Matrix Representation of a Pair of Projections in a Hilbert Space
• Operator Theory

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