Operators of Hankel type
S. Bermudo; S. A. M. Marcantognini; M. D. Morán
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 4, page 1147-1163
- ISSN: 0011-4642
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topBermudo, S., Marcantognini, S. A. M., and Morán, M. D.. "Operators of Hankel type." Czechoslovak Mathematical Journal 56.4 (2006): 1147-1163. <http://eudml.org/doc/31096>.
@article{Bermudo2006,
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 $V$.},
author = {Bermudo, S., Marcantognini, S. A. M., Morán, M. D.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hankel operators; Hankel symbols; Hankel operators; Hankel symbols},
language = {eng},
number = {4},
pages = {1147-1163},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Operators of Hankel type},
url = {http://eudml.org/doc/31096},
volume = {56},
year = {2006},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 4
SP - 1147
EP - 1163
AB - 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 $V$.
LA - eng
KW - Hankel operators; Hankel symbols; Hankel operators; Hankel symbols
UR - http://eudml.org/doc/31096
ER -
References
top- Scattering matrices in the theory of extensions of isometric operators, Soviet Math. Dokl. 27 (1983), 518–522. (1983) MR0705184
- Prolongements des formes de Hankel généralisées et formes de Toeplitz, C. R. Acad. Sci Paris Sér. I Math. 305 (1987), 167–170. (1987) MR0903954
- Integral representations of bounded Hankel forms defined in scattering systems with a multiparametric evolution group, Operator Theory: Adv. Appl. 35 (1988), 357–375. (1988) MR1017676
- 10.4171/ZAA/513, Z. Anal. Anwendungen 13 (1994), 233–260. (1994) MR1287152DOI10.4171/ZAA/513
- 10.1090/S0002-9939-1966-0203464-1, Proc. Amer. Math. Soc. 17 (1966), 413–415. (1966) Zbl0146.12503MR0203464DOI10.1090/S0002-9939-1966-0203464-1
- 10.1023/A:1013746930743, Czechoslovak Math. J. 51 (2001), 323–342. (2001) MR1844313DOI10.1023/A:1013746930743
- Compact and finite rank operators satisfying a Hankel type equation , Integral Equations Operator Theory 39 (2001), 475–495. (2001) MR1829281
- 10.1016/0022-247X(89)90218-7, J. Math. Anal. Appl. 141 (1989), 219–234. (1989) MR1004596DOI10.1016/0022-247X(89)90218-7
- Factorization of Toeplitz and Hankel operators, Math. Bohem. 122 (1997), 131–140. (1997) MR1460943
- Operators of Toeplitz and Hankel type, Acta Sci. Math. (Szeged) 52 (1988), 117–140. (1988)
- 10.1007/BF01236657, Integral Equations Operator Theory 11 (1988), 128–147. (1988) MR0920738DOI10.1007/BF01236657
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