Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2015; 30(3): 169-176

Printed July 31, 2015

https://doi.org/10.4134/CKMS.2015.30.3.169

Copyright © The Korean Mathematical Society.

Numerical range and SOT-convergency

Abdolaziz Abdollahi and Mohammad Taghi Heydari

Shiraz University, Yasouj University

Abstract

A sequence of composition operators on Hardy space is considered. We prove that, by numerical range properties, it is SOT-conver\-gence but not converge.

Keywords: numerical range, composition operator, Hardy space

MSC numbers: Primary 47A12; Secondary 47B33, 30H10