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Korean Mathematical Society
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ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 2000; 37(2): 347-352
Printed June 1, 2000
Copyright © The Korean Mathematical Society.
A propagation of quadratically hyponormal weighted shifts
Yong bin Choi
Sungkyunkwan University
In this note we answer to a question of Curto: Non-first two equal weights in the weighted shift force subnormality in the presence of quadratic hyponormality. Also it is shown that every hyponormal weighted shift with two equal weights cannot be polynomially hyponormal without being flat.
Keywords: quadratically hyponormal operators, polynomially hyponormal operators, weighted shifts, propagations
MSC numbers: 47B20, 47B37
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