Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A note on density for the core of unbounded Bergman operators

Authors: Sherwin Kouchekian and James E. Thomson
Journal: Proc. Amer. Math. Soc. 139 (2011), 2067-2072
MSC (2010): Primary 32A36; Secondary 47B38, 32A35
Published electronically: November 5, 2010
MathSciNet review: 2775384
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 32A36, 47B38, 32A35

Retrieve articles in all journals with MSC (2010): 32A36, 47B38, 32A35

Additional Information

Sherwin Kouchekian
Affiliation: Department of Mathematics & Statistics, University of South Florida, Tampa, Florida 33620-5700

James E. Thomson
Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123

Keywords: Unbounded Bergman operators, functional calculus, core of a Bergman operator
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.