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The Browder spectrum of an elementary operator

Kitson, Derek (2011) The Browder spectrum of an elementary operator. In: Elementary operators and their applications : 3rd International Workshop held at Queen's University Belfast, 14-17 April 2009. Operator Theory: Advances and Applications . Birkhäuser Verlag, Basel, pp. 17-24. ISBN 9783034800365

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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
Subjects: ?? qa ??
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: 15 Oct 2018 13:26
Identification Number:

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