| Title:
|
Factorization of Toeplitz and Hankel operators (English) |
| Author:
|
Pták, Vlastimil |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
131-145 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using a factorization lemma we obtain improvements and simplifications of results on representation of generalized Toeplitz and Hankel operators as compression of symbols. (English) |
| Keyword:
|
Toeplitz operator |
| Keyword:
|
Hankel operator |
| Keyword:
|
minimal isometric dilation |
| Keyword:
|
commutant lifting theorem |
| MSC:
|
47A20 |
| MSC:
|
47A68 |
| MSC:
|
47B35 |
| idZBL:
|
Zbl 0892.47026 |
| idMR:
|
MR1460943 |
| DOI:
|
10.21136/MB.1997.125920 |
| . |
| Date available:
|
2009-09-24T21:24:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125920 |
| . |
| Reference:
|
[1] V. Pták P. Vrbová: Lifting intertwining relations.Integral Equations Operator Theory 11 (1988), 128-147. MR 0920738, 10.1007/BF01236657 |
| Reference:
|
[2] V. Pták P. Vrbová: Operators of Toeplitz and Hankel type.Acta Sci. Math. 52 (1988), 117-140. MR 0957795 |
| Reference:
|
[3] B. Sz.-Nagy C. Foiaş: Dilation des commutants.C. R. Ac. Sci. Paris A266 (1968), 493-495. MR 0236755 |
| Reference:
|
[4] B. Sz.-Nagy C. Foiaş: Toeplitz type operators and hyponormality.Dilation theory, Toeplitz operators and other topics, Operator theory. Vol. 11. Birkhäuser Verlag, 1983, pp. 371-378. MR 0789650 |
| Reference:
|
[5] B. Sz.-Nagy C. Foiaş: An application of dilation theory to hyponormal operators.Acta Sci. Math. 57 (1975), 155-159. MR 0383131 |
| . |
