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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

One-step extension of the Bergman shift


Authors: Yong Bin Choi, Jin Kyu Han and Woo Young Lee
Journal: Proc. Amer. Math. Soc. 128 (2000), 3639-3646
MSC (1991): Primary 47B20, 47B37
Published electronically: June 7, 2000
MathSciNet review: 1694855
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Abstract: In this paper we answer a question of Curto and Fialkow: there exists a quadratically hyponormal weighted shift which is not positively quadratically hyponormal.


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Additional Information

Yong Bin Choi
Affiliation: Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea

Jin Kyu Han
Affiliation: Department of Mathematics Education, Mokwon University, Daejon 301-719, Korea

Woo Young Lee
Affiliation: Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea
Email: wylee@yurim.skku.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05516-7
PII: S 0002-9939(00)05516-7
Keywords: Quadratically hyponormal operators, positively quadratically hyponormal operators, unilateral weighted shifts, Bergman shifts
Received by editor(s): October 4, 1998
Received by editor(s) in revised form: February 24, 1999
Published electronically: June 7, 2000
Additional Notes: This work was partially supported by the KOSEF through the GARC at Seoul National University and a research grant BSRI-1998-015-D00028.
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society



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