Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2019; 56(1): 187-200

Online first article July 10, 2018      Printed January 31, 2019

https://doi.org/10.4134/BKMS.b180175

Copyright © The Korean Mathematical Society.

Truncated Hankel operators and their matrices

Bartosz {\L}anucha, Ma{\l}gorzata Michalska

pl. M. Curie-Sk{\l}odowskiej 1; pl. M. Curie-Sk{\l}odowskiej 1

Abstract

Truncated Hankel operators are compressions of classical \linebreak Hankel operators to model spaces. In this paper we describe matrix representations of truncated Hankel operators on finite-dimensional model spaces. We then show that the obtained descriptions hold also for some infinite-dimensional cases.

Keywords: model space, truncated Toeplitz operator, truncated Hankel operator, matrix representation

MSC numbers: 47B32, 47B35, 30H10