## Approximation theory in tensor product spaces |

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### Contents

AN INTRODUCTION TO TENSOR PRODUCTS | 1 |

PROXIMINALITY | 35 |

THE ALTERNATING ALGORITHM | 48 |

Copyright | |

13 other sections not shown

### Other editions - View all

Approximation Theory in Tensor Product Spaces William A. Light,Elliot W. Cheney Limited preview - 2006 |

Approximation Theory in Tensor Product Spaces William A. Light,Elliot W. Cheney No preview available - 2014 |

### Common terms and phrases

Algebraic alternating algorithm Analysis ap(z Approximation Theory arbitrary Ascoli Theorem assume Ba.na.ch Banach space best approximation best Li-approximation biorthonormal system Bochner integrable bounded C(S X T CHAPTER characteristic function Cheney closed subspace compact Hausdorff space continuous COROLLARY defined definition denote Diliberto-Straus Algorithm dist Edited element equation equicontinuous exists finite measure space finite-dimensional subspace follows G and H Golitschek Haar subspace Hahn-Banach Theorem Hausdorff space Hence Hilbert space inequality infimum LEMMA Let G Let H Li-proximity map Li(S linear proximity maps Lipschitz LP(S LP(T Math measurable function measurable set minimal projection non-atomic measure nonexpansive null set Proceedings PROOF proximinal proximity map reasonable crossnorm representation result Select Seminar sequence simple functions strongly measurable function subset supremum norm Taking a supremum taking an infimum tensor product THEOREM topology uniformly convex Vlll weak*-closed zk+i