Czechoslovak Mathematical Journal, Vol. 69, No. 2, pp. 471-477, 2019
Some results on (strong) asymptotic Toeplitzness and Hankelness
Received August 23, 2017. Published online August 28, 2018.
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.
Keywords: Hardy space of the unit circle; Toeplitz operator; Hankel operator; strong operator topology