A note on density for the core of unbounded Bergman operators
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Abstract:
In this paper, we identify a large collection of open subsets of the complex plane for which the core of corresponding unbounded Bergman operators is densely defined. This result gives the necessary background to investigate the concept of invariant subspaces, index, and cyclicity in the unbounded case.References
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Additional Information
- Sherwin Kouchekian
- Affiliation: Department of Mathematics & Statistics, University of South Florida, Tampa, Florida 33620-5700
- Email: skouchekian@usf.edu
- James E. Thomson
- Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123
- Email: jthomson@math.vt.edu
- Received by editor(s): November 4, 2009
- Received by editor(s) in revised form: May 31, 2010
- Published electronically: November 5, 2010
- Communicated by: Michael T. Lacey
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2067-2072
- MSC (2010): Primary 32A36; Secondary 47B38, 32A35
- DOI: https://doi.org/10.1090/S0002-9939-2010-10608-1
- MathSciNet review: 2775384