| Title:
|
Operators of Hankel type (English) |
| Author:
|
Bermudo, S. |
| Author:
|
Marcantognini, S. A. M. |
| Author:
|
Morán, M. D. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
1147-1163 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $V$. (English) |
| Keyword:
|
Hankel operators |
| Keyword:
|
Hankel symbols |
| MSC:
|
47A20 |
| MSC:
|
47B35 |
| idZBL:
|
Zbl 1164.47326 |
| idMR:
|
MR2280800 |
| . |
| Date available:
|
2009-09-24T11:41:48Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128136 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[10] V. Pták and P. Vrbová: Operators of Toeplitz and Hankel type.Acta Sci. Math. (Szeged) 52 (1988), 117–140. |
| Reference:
|
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| . |
