ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 60,   1   (1991)
pp.   19-21

ACCRETIVE METRIC PROJECTIONS
L. VESELY


Abstract.  In this note we prove that all metric projections onto closed subsets of a normed linear space $X$ are \a e if and only if $X$ is an inner-product space. Instead of all closed sets it suffices to consider more special classes of sets in $X$.

AMS subject classification.  41A65, 47H06; Secondary 46B99, 46C10
Keywords

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