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Ascent and descent for sets of operators

Kitson, Derek (2009) Ascent and descent for sets of operators. Studia Mathematica, 191 (2). pp. 151-161. ISSN 0039-3223

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Abstract

We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded operators which is compact-valued and has the projection property.

Item Type: Article
Journal or Publication Title: Studia Mathematica
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 58212
Deposited By: ep_importer_pure
Deposited On: 19 Sep 2012 10:16
Refereed?: Yes
Published?: Published
Last Modified: 21 Feb 2014 09:49
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/58212

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