Pták, Vlastimil; Vrbová, Pavla Operators of Toeplitz and Hankel type. (English) Zbl 0661.47028 Acta Sci. Math. 52, No. 1-2, 117-140 (1988). The authors investigate abstract analogues of classical Toeplitz and Hankel operators in the spirit of B. Sz.-Nagy and C. Foias [see: Oper. Theory: Adv. Appl., I 1, 371-388 (1983; Zbl 0533.47019)]. The investigation is based on the use of isometric dilation of contractions and on the properties of their Wold decomposition. Reviewer: Yu.Latushkin Cited in 3 ReviewsCited in 9 Documents MSC: 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 47A45 Canonical models for contractions and nonselfadjoint linear operators Keywords:abstract analogues of classical Toeplitz and Hankel operators; isometric dilation of contractions; Wold decomposition Citations:Zbl 0533.47019 PDFBibTeX XMLCite \textit{V. Pták} and \textit{P. Vrbová}, Acta Sci. Math. 52, No. 1--2, 117--140 (1988; Zbl 0661.47028)