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 |
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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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