Previous |  Up |  Next

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:
[1] V. Pták P. Vrbová: Lifting intertwining relations. Integral Equations Operator Theory 11 (1988), 128-147. DOI 10.1007/BF01236657 | MR 0920738
[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
Partner of
EuDML logo