Hankel operators with discontinuous symbol-Reference-Cited by-同舟云学术

Hankel operators with discontinuous symbol

Published:1977 Issue:1 Volume:65 Page:77-79
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Power Stephen

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 ∗ {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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-065-01/S0002-9939-1977-0512867-4/S0002-9939-1977-0512867-4.pdf

Reference5 articles.

1. A proof of Hartman’s theorem on compact Hankel operators;Bonsall, F. F.;Math. Proc. Cambridge Philos. Soc.,1975

2. Pure and Applied Mathematics, Vol. 49;Douglas, Ronald G.,1972

3. On completely continuous Hankel matrices;Hartman, Philip;Proc. Amer. Math. Soc.,1958

4. S. C. Power, Intertwining operators, Ph.D. Thesis, Univ. of Edinburgh, 1976.

5. Hankel matrices;Widom, Harold;Trans. Amer. Math. Soc.,1966

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