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AN INTRODUCTION TO TENSOR PRODUCTS
THE ALTERNATING ALGORITHM
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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