Article
Keywords:
Toeplitz operator; Hankel operator; minimal isometric dilation; commutant lifting theorem
Summary:
Using a factorization lemma we obtain improvements and simplifications of results on representation of generalized Toeplitz and Hankel operators as compression of symbols.
References:
                        
[2] V. Pták P. Vrbová: 
Operators of Toeplitz and Hankel type. Acta Sci. Math. 52 (1988), 117-140. 
MR 0957795 
[3] B. Sz.-Nagy C. Foiaş: 
Dilation des commutants. C. R. Ac. Sci. Paris  A266 (1968), 493-495. 
MR 0236755 
[4] B. Sz.-Nagy C. Foiaş: 
Toeplitz type operators and hyponormality. Dilation  theory, Toeplitz operators and other topics, Operator theory. Vol. 11. Birkhäuser Verlag, 1983, pp. 371-378. 
MR 0789650 
[5] B. Sz.-Nagy C. Foiaş: 
An application of dilation theory to hyponormal operators. Acta Sci. Math. 57 (1975), 155-159. 
MR 0383131