Proceedings of the American Mathematical Society

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

Author(s): Isabelle Chalendar; Jonathan R. Partington; Martin Smith
Journal: Proc. Amer. Math. Soc. 132 (2004), 1133-1142.
MSC (2000): Primary 41A29, 47A15, 46B20, 46E15
Posted: June 23, 2003
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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 vectors and hyperinvariant subspaces of linear operators, generalizing the Hilbert space technique of Ansari and Enflo.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 41A29, 47A15, 46B20, 46E15

Isabelle Chalendar
Affiliation: Institut Girard Desargues, UFR de Mathématiques, Université Claude Bernard Lyon~1, 69622 Villeurbanne Cedex, France
Email: chalenda@igd.univ-lyon1.fr

Jonathan R. Partington
Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
Email: J.R.Partington@leeds.ac.uk

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