| Title:
|
Some results on (strong) asymptotic Toeplitzness and Hankelness (English) |
| Author:
|
Nikpour, Mehdi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
471-477 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Based on the results in A. Feintuch (1989), this work sheds light upon some interesting properties of strongly asymptotically Toeplitz and Hankel operators, and relations between these two classes of operators. Indeed, among other things, two main results here are (a) vanishing Toeplitz and Hankel operators forms an ideal, and (b) finding the distance of a strongly asymptotically Toeplitz operator from the set of vanishing Toeplitz operators. (English) |
| Keyword:
|
Hardy space of the unit circle |
| Keyword:
|
Toeplitz operator |
| Keyword:
|
Hankel operator |
| Keyword:
|
strong operator topology |
| MSC:
|
47B35 |
| MSC:
|
47L80 |
| idZBL:
|
Zbl 07088799 |
| idMR:
|
MR3959959 |
| DOI:
|
10.21136/CMJ.2018.0391-17 |
| . |
| Date available:
|
2019-05-24T09:00:15Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147739 |
| . |
| Reference:
|
[1] Barría, J., Halmos, P. R.: Asymptotic Toeplitz operators.Trans. Amer. Math. Soc. 273 (1982), 621-630. Zbl 0522.47020, MR 0667164, 10.2307/1999932 |
| Reference:
|
[2] Brown, A., Halmos, P. R.: Algebraic properties of Toeplitz operators.J. Reine Angew. Math. 213 (1963), 89-102. Zbl 0116.32501, MR 0160136, 10.1515/crll.1964.213.89 |
| Reference:
|
[3] Feintuch, A.: On asymptotic Toeplitz and Hankel operators.Oper. Theory, Adv. Appl. 41 (1989), 241-254. Zbl 0676.47014, MR 1038338, 10.1007/978-3-0348-9278-0_12 |
| Reference:
|
[4] Power, S. C.: Hankel Operators on Hilbert Space.Research Notes in Mathematics 64. Pitman Advanced Publishing Program, London (1982). Zbl 0489.47011, MR 0666699 |
| . |
