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Powers of a Hermitian element in a Banach algebra

Bridges, D.S. and Havea, Robin S. (2007) Powers of a Hermitian element in a Banach algebra. New Zealand Journal of Mathematics, 36 . pp. 1-10. ISSN 1171-6096

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Abstract

It is shown constructively that, under certain conditions on a Banach algebra B, the positive integral powers of a hermitian (respectively, positive) element of B are hermitian (respectively, positive). Constructive limitations on the Hahn–Banach theorem force us to adopt careful definitions of ‘hermitian’ and ‘positive’, based on approximations to the state space of the Banach algebra.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User: Ms Mereoni Camailakeba
Date Deposited: 22 Nov 2007 09:49
Last Modified: 23 May 2012 20:36
URI: http://repository.usp.ac.fj/id/eprint/885
UNSPECIFIED

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