Some results on (strong) asymptotic Toeplitzness and Hankelness

Mehdi Nikpour

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 2, page 471-477
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Nikpour, Mehdi. "Some results on (strong) asymptotic Toeplitzness and Hankelness." Czechoslovak Mathematical Journal 69.2 (2019): 471-477. <http://eudml.org/doc/294470>.

@article{Nikpour2019,
abstract = {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.},
author = {Nikpour, Mehdi},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hardy space of the unit circle; Toeplitz operator; Hankel operator; strong operator topology},
language = {eng},
number = {2},
pages = {471-477},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some results on (strong) asymptotic Toeplitzness and Hankelness},
url = {http://eudml.org/doc/294470},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Nikpour, Mehdi
TI - Some results on (strong) asymptotic Toeplitzness and Hankelness
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 2
SP - 471
EP - 477
AB - 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.
LA - eng
KW - Hardy space of the unit circle; Toeplitz operator; Hankel operator; strong operator topology
UR - http://eudml.org/doc/294470
ER -

References

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  1. Barría, J., Halmos, P. R., 10.2307/1999932, Trans. Amer. Math. Soc. 273 (1982), 621-630. (1982) Zbl0522.47020MR0667164DOI10.2307/1999932
  2. Brown, A., Halmos, P. R., 10.1515/crll.1964.213.89, J. Reine Angew. Math. 213 (1963), 89-102. (1963) Zbl0116.32501MR0160136DOI10.1515/crll.1964.213.89
  3. Feintuch, A., 10.1007/978-3-0348-9278-0_12, Oper. Theory, Adv. Appl. 41 (1989), 241-254. (1989) Zbl0676.47014MR1038338DOI10.1007/978-3-0348-9278-0_12
  4. Power, S. C., Hankel Operators on Hilbert Space, Research Notes in Mathematics 64. Pitman Advanced Publishing Program, London (1982). (1982) Zbl0489.47011MR0666699

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