Journal article
A new criterion for k-hyponormality via weak subnormality
Proceedings of the American Mathematical Society, Vol.133(6), pp.1805-1816
2005
DOI: 10.1090/S0002-9939-04-07727-5
Abstract
In this article we obtain a criterion for k-hyponormality via weak subnormality. Using this criterion we recapture Spitkovskii's subnormality criterion and give a simple proof of the main result in Gu's preprint (2001), which describes a gap between k-hyponormality and (k+ 1)-hyponormality for Toeplitz operators. In addition, we notice that the minimal normal extension of a subnormal operator is exactly the inductive limit of its minimal partially normal extensions.
Details
- Title: Subtitle
- A new criterion for k-hyponormality via weak subnormality
- Creators
- Raúl E CurtoSang Hoon LeeWoo Young Lee
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.133(6), pp.1805-1816
- DOI
- 10.1090/S0002-9939-04-07727-5
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985868902771
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