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 1088-6826Full text available as:
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.
|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|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||Sherpa Assistant|
|Date Deposited:||25 Oct 2005|
|Last Modified:||17 Oct 2013 14:27|