Câmara, Crisina; Jurasik, Joanna; Kliś-Garlicka, Kamila; Ptak, Marek Characterizations of asymmetric truncated Toeplitz operators. (English) Zbl 1489.47047 Banach J. Math. Anal. 11, No. 4, 899-922 (2017). Summary: The aim of this paper is to investigate asymmetric truncated Toeplitz operators with \(L^{2}\)-symbols between two different model spaces given by inner functions such that one divides the other. The class of symbols corresponding to the zero operator is described. Asymmetric truncated Toeplitz operators are characterized in terms of operators of rank at most \(2\), and the relations with the corresponding symbols are studied. Cited in 1 ReviewCited in 19 Documents MSC: 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 30H10 Hardy spaces 47A15 Invariant subspaces of linear operators Keywords:model space; truncated Toeplitz operator; kernel functions; conjugation × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid