Operators of Hankel type |
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| Authors: | S Bermudo S A M Marcantognini M D Morán |
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| Institution: | (1) Departamento de Economía, Métodos Cuantitativos e Historia Económica, Universidad Pablo de Olavide, 41013 Seville, Spain;(2) Departamento de Matemáticas, IVIC, Apartado Postal 21827, Caracas, 1020A, Venezuela;(3) Facultad de Ciencias, Escuela de Matemáticas, Universidad Central de Venezuela, Apartado Postal 20513, Caracas, 1020A, Venezuela |
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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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| Keywords: | Hankel operators Hankel symbols |
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