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

Official URL: http://nzjm.math.auckland.ac.nz/index.php/Powers_o...

## 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 |
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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 |

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