A note on density for the core of unbounded Bergman operators

Kouchekian, Sherwin; Thomson, James

doi:10.1090/S0002-9939-2010-10608-1

A note on density for the core of unbounded Bergman operators
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by Sherwin Kouchekian and James E. Thomson PDF

Proc. Amer. Math. Soc. 139 (2011), 2067-2072 Request permission

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.

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