Kitson, Derek (2011) *The Browder spectrum of an elementary operator.* In: Elementary operators and their applications. Operator Theory: Advances and Applications . Birkhäuser Verlag, Basel, pp. 17-24. ISBN 9783034800365

## Abstract

We relate the ascent and descent of n-tuples of multiplication operators Ma,b(u)=aub to that of the coefficient Hilbert space operators a, b. For example, if a=(a1,…,an) and b∗=(b∗1,…,b∗m) have finite non-zero ascent and descent s and t, respectively, then the (n+m) -tuple (La,Rb) of left and right multiplication operators has finite ascent and descent s+t−1. . Using these results we obtain a description of the Browder joint spectrum of (La,Rb) and provide formulae for the Browder spectrum of an elementary operator acting on B(H) or on a norm ideal of B(H).

Item Type: | Contribution in Book/Report/Proceedings |
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Subjects: | Q Science > QA Mathematics |

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

ID Code: | 58211 |

Deposited By: | ep_importer_pure |

Deposited On: | 19 Sep 2012 12:34 |

Refereed?: | No |

Published?: | Published |

Last Modified: | 21 Feb 2014 09:44 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/58211 |

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