A local lifting theorem for subnormal operators
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- by Witold Majdak, Zoltán Sebestyén, Jan Stochel and James E. Thomson PDF
- Proc. Amer. Math. Soc. 134 (2006), 1687-1699 Request permission
Abstract:
Criteria for the existence of lifts of operators intertwining subnormal operators are established. The main result of the paper reduces lifting questions for general subnormal operators to questions about lifts of cyclic subnormal operators. It is shown that in general the existence of local lifts (i.e. those coming from cyclic parts) for a pair of subnormal operators does not imply the existence of a global lift. However this is the case when minimal normal extensions of subnormal operators in question are star-cyclic.References
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Additional Information
- Witold Majdak
- Affiliation: Faculty of Applied Mathematics, AGH Science and Technology University, Al. Mickiewicza 30, 30-059 Kraków, Poland
- Email: majdak@wms.mat.agh.edu.pl
- Zoltán Sebestyén
- Affiliation: Department of Applied Analysis, Eötvös University, H-1117 Budapest, Pázmány Péter sétány 1/c, Hungary
- Email: sebesty@cs.elte.hu
- Jan Stochel
- Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
- Email: stochel@im.uj.edu.pl
- James E. Thomson
- Affiliation: Department of Mathematics, 460 McBryde Hall, Virginia Tech, Blacksburg, Virginia 24061-0123
- Email: thomson@math.vt.edu
- Received by editor(s): July 8, 2004
- Received by editor(s) in revised form: January 10, 2005
- Published electronically: December 2, 2005
- Additional Notes: The research of the third author was supported by KBN grant 2 P03A 037 024.
- Communicated by: Joseph A. Ball
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1687-1699
- MSC (2000): Primary 47B20; Secondary 47A20
- DOI: https://doi.org/10.1090/S0002-9939-05-08158-X
- MathSciNet review: 2204281