THE MODULUS MULTIPLICATION TRANSFORM OF BOUNDED LINEAR OPERATORS

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Published: Aug 15, 2018
DOI: https://doi.org/10.14403/jcms.2018.31.3.325
Keywords:
Aluthge transform, modulus multiplication transform, subnormal, k-hyponormal, weighted shifts
Mathematics Subject Classification (2020):
Primary 47B20, 47B37, 47A13, 28A50, Secondary 44A60, 47-04, 47A20

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Jun Ik Lee
Department of Mathematics Education, Sangmyung University
Sang Hoon Lee
Department of Mathematics, Chungnam National University

Abstract





In this paper, we study which transform preserves the k-hyponormality of weighted shifts. For this, we introduce a new transform, the modulus multiplication transform, and then examine various properties of it.





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Article Details

Issue
Vol. 31 No. 3 (2018)
Section
Articles