Operator Ranges and Completely Bounded Homomorphisms

DOI10.2307/2048049zbMath0678.47035OpenAlexW4247378020MaRDI QIDQ3834571

D. Benjamin Mathes

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048049

zbMATH Keywords

\(C^*\)-algebrascommutantSchur productlattice of operator rangescompletely bounded homomorphismalgebra of analytic Toeplitz

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators in algebras (47C05)

Cites Work

• Every completely polynomially bounded operator is similar to a contraction
• Solution of the similarity problem for cyclic representations of \(C^*- algebras\)
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• On operator ranges
• Completely Bounded Maps on C ∗ -Algebras and Invariant Operator Ranges
• Invariant Linear Manifolds and the Self-Adjointness of Operator Algebras
• On Invariant Operator Ranges
• Étude sur les variétés et les opérateurs de Julia, avec quelques applications
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