On the closure of the complex symmetric operators: compact operators and weighted shifts

DOI10.1016/j.jfa.2012.11.009zbMath1270.47019arXiv1106.4855OpenAlexW2019707941MaRDI QIDQ1937460

Stephan Ramon Garcia, Daniel E. Poore

Publication date: 1 March 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4855

zbMATH Keywords

self-similaritycompact operatorpalindromeshift operatorunitary orbitstrong operator topologycomplex symmetric operatorunilateral shiftweak operator topologyKakutani shift

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Convex sets and cones of operators (47L07)

Related Items (17)

Approximation of complex symmetric operators ⋮ Complex symmetric Toeplitz operators on the unit polydisk and the unit ball ⋮ An interpolation problem for conjugations ⋮ A 𝐶*-algebra approach to complex symmetric operators ⋮ Random weighted shifts ⋮ Compact operators in the \(C^*\)-algebra generated by a matrix weighted shift ⋮ Complex symmetric weighted composition-differentiation operators ⋮ Complex symmetric monomial Toeplitz operators on the unit ball ⋮ Lateral Movement in Undergraduate Research: Case Studies in Number Theory ⋮ Symmetric matrix representations of truncated Toeplitz operators on finite dimensional spaces ⋮ Approximate unitary equivalence to skew symmetric operators ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ Complex symmetric generators of \(C^*\)-algebras ⋮ Complex symmetry of a dense class of operators ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ Reducible and irreducible approximation of complex symmetric operators ⋮ Recent Progress on Truncated Toeplitz Operators

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