On operator algebras and operator ranges

DOI10.1007/BF01202518zbMath0611.47035MaRDI QIDQ1087816

Peter Rosenthal, William Ellison Longstaff

Publication date: 1986

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

zbMATH Keywords

invariant subspaceabelian range cyclic algebra that does not have finite strict multiplicitycommutant of a range cyclic algebraevery uniformly closed abelian range cyclic algebra is strictly cyclicNests of invariant subspaces of algebras of finite range multiplicityoperator algebras of countable range multiplicity

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)

Related Items (1)

Invariant subspaces of operator algebras

Cites Work

• Strictly cyclic operator algebras
• On operator ranges
• Maximal invariant subspaces of strictly cyclic operator algebras
• Strictly cyclic operator algebras on a Banach space
• Some Tractable Non-Self-Adjoint Operator Algebras
• On Invariant Operator Ranges
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