Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2002; 39(4): 527-534

Printed December 1, 2002

Copyright © The Korean Mathematical Society.

On $k$-hyponormal weighted translation semigroups

Jung Woi Park and Sang Soo Park

Kyungpook National University, Kyungpook National University

Abstract

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The weighted shifts have been made a central role in the study of $k$-hyponormality for hyponormal and subnormal operators in discrete notion. In this note we discuss the $k$-hyponormality of weighted translation semigroups with a symbol function in continuous notion.

Keywords: weighted translation semigroup, $p$-hyponormal operator, weighted shift

MSC numbers: 47D06, 47B20

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