One-step extension of the Bergman shift
HTML articles powered by AMS MathViewer
- by Yong Bin Choi, Jin Kyu Han and Woo Young Lee PDF
- Proc. Amer. Math. Soc. 128 (2000), 3639-3646 Request permission
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.References
- Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
- John B. Conway, Subnormal operators, Research Notes in Mathematics, vol. 51, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1981. MR 634507
- Raúl E. Curto, Quadratically hyponormal weighted shifts, Integral Equations Operator Theory 13 (1990), no. 1, 49–66. MR 1025673, DOI 10.1007/BF01195292
- Raúl E. Curto, Joint hyponormality: a bridge between hyponormality and subnormality, Operator theory: operator algebras and applications, Part 2 (Durham, NH, 1988) Proc. Sympos. Pure Math., vol. 51, Amer. Math. Soc., Providence, RI, 1990, pp. 69–91. MR 1077422, DOI 10.1016/j.jpaa.2018.12.012
- Raúl E. Curto and Lawrence A. Fialkow, Recursively generated weighted shifts and the subnormal completion problem. II, Integral Equations Operator Theory 18 (1994), no. 4, 369–426. MR 1265443, DOI 10.1007/BF01200183
- R.E. Curto and I.B. Jung, Quadratically hyponormal weighted shifts with two equal weights, preprint.
- Raúl E. Curto, Paul S. Muhly, and Jingbo Xia, Hyponormal pairs of commuting operators, Contributions to operator theory and its applications (Mesa, AZ, 1987) Oper. Theory Adv. Appl., vol. 35, Birkhäuser, Basel, 1988, pp. 1–22. MR 1017663
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
- MR Author ID: 263789
- Email: wylee@yurim.skku.ac.kr
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3639-3646
- MSC (1991): Primary 47B20, 47B37
- DOI: https://doi.org/10.1090/S0002-9939-00-05516-7
- MathSciNet review: 1694855