An Asymptotic Double Commutant Theorem for C ∗ -Algebras

DOI10.2307/1997899zbMath0399.46043OpenAlexW4240103540MaRDI QIDQ4183820

Donald W. Hadwin

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/1997899

zbMATH Keywords

RepresentationSimilarityReflexivityC*-AlgebraSubnormal OperatorDouble CommutantReductivityStrongly Reductive Algebra

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of (C^*)-algebras (46L05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Linear operators in ({}^*)-algebras (47C10)

Related Items (14)

Universal \(C^\ast\)-algebras defined by completely bounded unital homomorphisms ⋮ Nonseparable Approximate Equivalence ⋮ Essential Spectra of Elementary Operators ⋮ Divisible operators in von Neumann algebras ⋮ Characterizations of double commutant property on \(\mathscr{B}(\mathscr{H})\) ⋮ A new bicommutant theorem ⋮ A General View of Reflexivity ⋮ Closures of Direct Sums of Classes of Operators ⋮ Spectral Properties of Elementary Operators. II ⋮ Proximity and similarity of operators II ⋮ A note on reflexivity ⋮ Invariant subspaces of operator algebras ⋮ Reflexivity and approximate reflexivity for bounded boolean algebras of projections ⋮ On closures of joint similarity orbits

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