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Approximation in reflexive Banach spaces and applications to the invariant subspace problem

Chalendar, I., Partington, J.R. and Smith, M. (2004) Approximation in reflexive Banach spaces and applications to the invariant subspace problem. Proceedings of the American Mathematical Society. pp. 1133-1142. ISSN 1088-6826

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Abstract

We formulate a general approximation problem involving reflexive and smooth Banach spaces, and give its explicit solution. Two applications are presented— the first is to the Bounded Completion Problem involving approximation of Hardy class functions, while the second involves the construction of minimal vec- tors and hyperinvariant subspaces of linear operators, generalizing the Hilbert space technique of Ansari and Enflo.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2003 American Mathematical Society. This is an author produced version of a paper published in Proceedings of the American Mathematical Society. This paper has been peer-reviewed but does not include the final publisher proof-corrections or journal pagination.
Keywords: constrained approximation, smoothness, invariant subspaces, hardy spaces, extremal problems
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: Sherpa Assistant
Date Deposited: 25 Oct 2005
Last Modified: 15 Oct 2014 09:17
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/746

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