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

 

On sums of Hankel operators


Author: Paul A. Fuhrmann
Journal: Proc. Amer. Math. Soc. 46 (1974), 65-68
MSC: Primary 47B37; Secondary 30A78
MathSciNet review: 0353043
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Abstract: Necessary and sufficient conditions are derived for the sum of two Hankel operators of closed range to have closed range. As a corollary we determine when two left invariant subspaces of $ {H^2}$ have positive angle.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0353043-5
PII: S 0002-9939(1974)0353043-5
Keywords: Hankel operators, invariant subspaces, inner functions, closed range
Article copyright: © Copyright 1974 American Mathematical Society