Maximal nests in the Calkin algebra

DOI10.1090/S0002-9939-98-04233-6zbMath0891.47028MaRDI QIDQ4383099

Donald W. Hadwin

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

continuum hypothesisCalkin algebracountable commutative lattices of projectionsisomorphic maximal nests of projectionsorder isomorphic but not similar

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Continuum hypothesis and Martin's axiom (03E50)

Related Items (3)

Model theory of operator algebras. II: Model theory ⋮ $P(\omega)/{\rm fin}$ and projections in the Calkin algebra ⋮ Set Theory and C*-Algebras

Cites Work

• Isomorphisms modulo the compact operators of nest algebras
• Perturbation theory for groups and lattices
• Isomorphisms modulo the compact operators of nest algebras. II
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Similarity and compact perturbations of nest algebras.
• Similarity of continuous Nests
• A solution to a problem of J. R. Ringrose
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