Some results on (strong) asymptotic Toeplitzness and Hankelness
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 471-477
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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.
DOI :
10.21136/CMJ.2018.0391-17
Classification :
47B35, 47L80
Keywords: Hardy space of the unit circle; Toeplitz operator; Hankel operator; strong operator topology
Keywords: Hardy space of the unit circle; Toeplitz operator; Hankel operator; strong operator topology
@article{10_21136_CMJ_2018_0391_17,
author = {Nikpour, Mehdi},
title = {Some results on (strong) asymptotic {Toeplitzness} and {Hankelness}},
journal = {Czechoslovak Mathematical Journal},
pages = {471--477},
publisher = {mathdoc},
volume = {69},
number = {2},
year = {2019},
doi = {10.21136/CMJ.2018.0391-17},
mrnumber = {3959959},
zbl = {07088799},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0391-17/}
}
TY - JOUR AU - Nikpour, Mehdi TI - Some results on (strong) asymptotic Toeplitzness and Hankelness JO - Czechoslovak Mathematical Journal PY - 2019 SP - 471 EP - 477 VL - 69 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0391-17/ DO - 10.21136/CMJ.2018.0391-17 LA - en ID - 10_21136_CMJ_2018_0391_17 ER -
%0 Journal Article %A Nikpour, Mehdi %T Some results on (strong) asymptotic Toeplitzness and Hankelness %J Czechoslovak Mathematical Journal %D 2019 %P 471-477 %V 69 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0391-17/ %R 10.21136/CMJ.2018.0391-17 %G en %F 10_21136_CMJ_2018_0391_17
Nikpour, Mehdi. Some results on (strong) asymptotic Toeplitzness and Hankelness. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 471-477. doi: 10.21136/CMJ.2018.0391-17
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