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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Multiplicity theory and the outer boundary


Author: John S. Spraker
Journal: Proc. Amer. Math. Soc. 112 (1991), 391-392
MSC: Primary 47B38; Secondary 47B15
MathSciNet review: 1062837
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Abstract: Let $ f$ be a conformal map from the unit disk onto a simply-connected region $ R$. Multiplication by $ f$ on $ {L^2}$ is a normal operator. In this paper it is shown that the outer boundary of $ R$ is a set of multiplicity one for this operator.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1062837-2
PII: S 0002-9939(1991)1062837-2
Keywords: Multiplicity, multiplication operator
Article copyright: © Copyright 1991 American Mathematical Society