Some counterexamples in nonselfadjoint algebras

DOI10.2307/1971405zbMath0656.47036OpenAlexW2142062549WikidataQ124960595 ScholiaQ124960595MaRDI QIDQ1110073

Warren R. Wogen

Publication date: 1987

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971405

zbMATH Keywords

closure of polynomials

Mathematics Subject Classification ID

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

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Extensions of normal operators ⋮ On polynomial approximation of the inverse of an operator ⋮ Extensions of bitriangular operators ⋮ How are invertible linear operators and their inverses related? ⋮ Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem ⋮ A local lifting theorem for jointly subnormal families of unbounded operators ⋮ The slice map problem and approximation properties ⋮ Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras ⋮ Reflexivity of extensions of a normal operator by a nilpotent operator ⋮ Reflexivity properties of \(T \bigoplus O\) ⋮ Separating versus strictly separating vectors ⋮ REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L²(ℝ) ⋮ Substrictly cyclic operators ⋮ Separating vectors for operators

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