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Journal | Proceedings of the American Mathematical Society |
---|---|

Date | Published - 2004 |

Issue number | 4 |

Volume | 132 |

Number of pages | 9 |

Pages (from-to) | 1133-1142 |

Original language | English |

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 © 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.

- constrained approximation, smoothness, invariant subspaces, hardy spaces, extremal problems

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