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A note on density for the core of unbounded Bergman operators.

Authors :
Sherwin Kouchekian
James E. Thomson
Source :
Proceedings of the American Mathematical Society. Dec2010, Vol. 139 Issue 6, p2067-2072. 6p.
Publication Year :
2010

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
139
Issue :
6
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
58594982
Full Text :
https://doi.org/10.1090/S0002-9939-2010-10608-1