A 𝐶*-algebra approach to complex symmetric operators

DOI10.1090/S0002-9947-2015-06215-1zbMath1393.47018OpenAlexW1993644080MaRDI QIDQ2944813

Sen Zhu, Kunyu Guo, You Qing Ji

Publication date: 8 September 2015

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-2015-06215-1

zbMATH Keywords

approximation\(C^*\)-algebrasweighted shiftsanti-automorphismsessentially normal operatorscomplex symmetric operators

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator approximation theory (47A58) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in ({}^*)-algebras (47C10)

Related Items (25)

Complex symmetric Toeplitz operators ⋮ Weyl's theorem for complex symmetric operators ⋮ Perturbations of \(C\)-normal operators ⋮ Approximation of complex symmetric operators ⋮ On the similarity of complex symmetric operators to perturbations of restrictions of normal operators ⋮ Remarks on the structure of C-normal operators ⋮ An interpolation problem for conjugations ⋮ Perturbation of the spectra of complex symmetric operators ⋮ C -normality of rank-one perturbations of normal operators ⋮ Quasisimilarity to complex symmetric operators ⋮ Random weighted shifts ⋮ Complex symmetric operators with closed numerical ranges ⋮ Compact operators in the \(C^*\)-algebra generated by a matrix weighted shift ⋮ On tensor products with \(C\)-normal operators ⋮ Complex symmetric monomial Toeplitz operators on the unit ball ⋮ Approximate unitary equivalence to skew symmetric operators ⋮ Complex symmetric generators of \(C^*\)-algebras ⋮ Finite rank perturbations of complex symmetric operators ⋮ On linear maps preserving complex symmetry ⋮ Involutive operator algebras ⋮ Noncomplex symmetric operators are dense ⋮ Complex symmetry of Toeplitz operators ⋮ Reducible and irreducible approximation of complex symmetric operators ⋮ Reducing subspaces of complex symmetric operators ⋮ Complex symmetry of Toeplitz operators on the weighted Bergman spaces

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