Operators of Hankel type

Author： Bermudo S. Marcantognini S. Morán M.

ISSN： 0011-4642

Source： Czechoslovak Mathematical Journal, Vol.56, Iss.4, 2006-12, pp. : 1147-1163

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Abstract

Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. The present note provides a parametric labeling of all the Hankel symbols of a given Hankel operator X by means of Schur class functions. The result includes uniqueness criteria and a Schur like formula. As a by-product, a new proof of the existence of Hankel symbols is obtained. The proof is established by associating to the data of the problem a suitable isometry V so that there is a bijective correspondence between the symbols of X and the minimal unitary extensions of V.

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