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

 

Hankel operators with discontinuous symbol


Author: Stephen Power
Journal: Proc. Amer. Math. Soc. 65 (1977), 77-79
MSC: Primary 47B35
MathSciNet review: 0512867
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Abstract: Douglas's localisation theory for Toeplitz operators is used to show that there exist certain Hankel operators with discontinuous symbols which do not lie in the $ {C^\ast}$-algebra generated by the Toeplitz operators. As a simple corollary we also see that these operators do not lie in the closed linear span of the positive Hankel operators.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0512867-4
PII: S 0002-9939(1977)0512867-4
Keywords: Hankel operator, discontinuous symbol, Toeplitz operator, $ {C^\ast}$-algebra, positive Hankel operator
Article copyright: © Copyright 1977 American Mathematical Society