On Invariant Operator Ranges

DOI10.2307/1998701zbMath0412.47003OpenAlexW4248352957MaRDI QIDQ4200741

Peter Rosenthal, Heydar Radjavi, Eric Nordgren, Mehdi Radjabalipour

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998701

zbMATH Keywords

operator algebrasinvariant operator ranges

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators in algebras (47C05)

Related Items (14)

On operator algebras and operator ranges ⋮ Operators Commuting with Positive Operators ⋮ An interpolation theorem and operator ranges ⋮ On Two Questions of Halmos Concerning Subspace Lattices ⋮ Maximal sectorial operators and invariant operator ranges ⋮ Small transitive families of subspaces ⋮ Small Transitive Lattices ⋮ Spatiality of Isomorphisms Between Certain Reflexive Algebras ⋮ Banach space duality of absolute Schur algebras ⋮ Invariant subspaces of operator algebras ⋮ A note on operator norm inequalities ⋮ On Lie group representations and operator ranges ⋮ When is the range of a normal operator invariant? ⋮ Operator Ranges and Completely Bounded Homomorphisms

Cites Work

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• Operator algebras leaving compact operator ranges invariant
• On operator ranges
• Density theorems for algebras of operators and annihilator Banach algebras
• On Density of Algebras with Minimal Invariant Operator Ranges
• Invariant Linear Manifolds and the Self-Adjointness of Operator Algebras
• Selfcommutators of multicyclic hyponormal operators are always trace class
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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