Kitson, Derek (2012) *The Taylor-Browder spectrum on prime C*-algebras.* Integral Equations and Operator Theory, 72 (3). pp. 403-418.

Official URL: http://dx.doi.org/10.1007/s00020-012-1943-2

## Abstract

We provide a formula for the Taylor–Browder spectrum of a pair (L a , R b ) of left and right multiplication operators acting on a prime C*-algebra with non-zero socle. We also compute ascent and descent for multiplication operators on a prime ring, characterise Browder elements in a prime C*-algebra and discuss upper semicontinuity for the Browder spectrum.

Item Type: | Article |
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Journal or Publication Title: | Integral Equations and Operator Theory |

Uncontrolled Keywords: | Browder spectrum ; Taylor spectrum ; Browder elements ; multiplication operators ; ascent and descent – prime C*-algebra ; prime C* ; algebra |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 58207 |

Deposited By: | ep_importer_pure |

Deposited On: | 04 Sep 2012 08:51 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 09 Oct 2013 13:14 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/58207 |

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