Projectors on Convex Sets in Reflexive Banach Spaces.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The projector on a convex set K in a reflexive Banach space X is the mapping PK assigning to each point x in the dual space X the set of points minimizing 12 absolute value x squared 12 absolute value x squared - x , x over K. Projectors are discussed and shown to enjoy most of the properties of nearest point mappings in Hilbert space. Author
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