Crabb, M.J., Duncan, J. and McGregor, C.M. (2001) Some extremal algebras for hermitians. Glasgow Mathematical Journal, 43(1), pp. 29-38.
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Abstract
We study three extremal Banach algebras: (a) generated by two hermitian unitaries; (b) generated by an element of norm 1 all of whose odd positive powers are hermitian; (c) generated by an element of norm 1 all of whose even positive powers are hermitian. In all three cases the numerical range is found for various elements. The second algebra is shown to be isometrically isomorphic to a subalgebra of the first. The third algebra is identified with a space of functions.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | McGregor, Dr Colin and Crabb, Dr Michael |
Authors: | Crabb, M.J., Duncan, J., and McGregor, C.M. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Glasgow Mathematical Journal |
Publisher: | Cambridge University Press |
ISSN: | 0017-0895 |
ISSN (Online): | 1469-509X |
Published Online: | 04 June 2001 |
Copyright Holders: | Copyright © 2001 Glasgow Mathematical Journal Trust |
First Published: | First published in Glasgow Mathematical Journal 43(1):29-38 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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