On local spectral properties of complex symmetric operators

49 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Recent Progress on Truncated Toeplitz Operators (2011, background): “In particular, Theorem 12 says each truncated Toeplitz operator is a complex symmetric operator, a class of Hilbert space operators which has undergone much recent study [24, 35, 45–50, 54, 55, 61, 63, 71, 72, 74, 103–107].”
Which Weighted Composition Operators are Complex Symmetric (2011, result): “A number of other authors have also made significant contributions [3, 11–14,17–20].”
Complex symmetric weighted composition operators on H2(D) (2014, background): “On the other hand, since λ ∈ σp(Wψ,φ), we obtain that W ∗ ψ,φ is not hypercyclic from [25], and so Wψ,φ is not complex symmetric by [22].”