An example in the theory of well-bounded operators

Dowson, H. R. and Spain, P. G. (1972) An example in the theory of well-bounded operators. Proceedings of the American Mathematical Society, 32(1), p. 205. (doi:10.1090/S0002-9939-1972-0288615-8)

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Abstract

If H is the Hilbert transform on LP(Z), then T=ttI+íH is a well-bounded operator for \<p<ao, but is not a scalar-type spectral operator except when/>=2.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Spain, Dr Philip
Authors: Dowson, H. R., and Spain, P. G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the American Mathematical Society
Journal Abbr.:Proc. Amer. Math. Soc.
Publisher:American Mathematical Society
ISSN:0002-9939
ISSN (Online):1088-6826

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