Geodesic
Operators of Hankel type
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1147-1163.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $V$.
Classification : 47A20, 47B35
Keywords: Hankel operators; Hankel symbols 
@article{CMJ_2006__56_4_a5,
     author = {Bermudo, S. and Marcantognini, S. A. M. and Mor\'an, M. D.},
     title = {Operators of {Hankel} type},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1147--1163},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2006},
     mrnumber = {2280800},
     zbl = {1164.47326},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a5/}
}
TY  - JOUR
AU  - Bermudo, S.
AU  - Marcantognini, S. A. M.
AU  - Morán, M. D.
TI  - Operators of Hankel type
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 1147
EP  - 1163
VL  - 56
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a5/
LA  - en
ID  - CMJ_2006__56_4_a5
ER  - 
%0 Journal Article
%A Bermudo, S.
%A Marcantognini, S. A. M.
%A Morán, M. D.
%T Operators of Hankel type
%J Czechoslovak Mathematical Journal
%D 2006
%P 1147-1163
%V 56
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a5/
%G en
%F CMJ_2006__56_4_a5
Bermudo, S.; Marcantognini, S. A. M.; Morán, M. D. Operators of Hankel type. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1147-1163. http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a5/