THE TRANSFORMS OF PYTHAGOREAN AND QUADRATIC MEANS OF WEIGHTED SHIFTS

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Published: Feb 15, 2016
DOI: https://doi.org/10.14403/jcms.2016.29.1.123
Keywords:
Aluthge transform, Pythagorean mean transform, quadratic mean transform, subnormal, k-hyponormal, weighted shifts
Mathematics Subject Classification (2020):
Primary 47B20, 47B37, 47A13, 28A50, Secondary 44A60, 47-04, 47A20

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Sang Hoon Lee
Department of Mathematics, Chungnam National University

Abstract





In this article, we introduce the transforms of Pythagorean and quadratic means of weighted shifts. We then explore how the transforms of weighted shifts behaves, in comparison with the Aluthge transform.





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Article Details

Issue
Vol. 29 No. 1 (2016)
Section
Articles