Algebraic properties of truncated Toeplitz operators

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Symbols of truncated Toeplitz operators (2010, background): “The set of all symbols of an arbitrary operator Aφ is exactly the set φ+ θH 2 + θH2, see [31].”
Aluthge Transforms of Complex Symmetric Operators (2008, unknown): “Other recent articles concerning complex symmetric operators include [11, 22, 30, 31].”
Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol (2015, methodology): “In particular, for α = θ, we have the defect operators ([17]) IKθ − Ar Ar−1 and IKθ − Ar−1 A θ r in Kθ, where IKθ denotes the identity operator in Kθ, with (IKθ −A θ r A θ r−1)φ θ + = 2i φ θ +(i) k θ i (4.”
Recent Progress on Truncated Toeplitz Operators (2011, background): “The following basic properties of Az are wellknown and can be found, for instance, in [78, 88].”
Bounded symbols and Reproducing Kernel Thesis for truncated Toeplitz operators (2009, unknown): “In [29] Sarason has asked specifically whether this operator has a bounded symbol.”