Dense single-valuedness of monotone operators
作者： Eduardo H. Zarantonello
DOI: 10.1007/BF02764602
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摘要: It is shown that the set of points for which a monotone mappingT:X→X * from separable Banach space into its dual not single-valued has no interior; if dimX<∞ and intD(T)≠ϕ then Lebesgue measure zero. Moreover, accretive mappingsT:X→X itself, dimension whose images contain balls codimension larger thank does exceedk. Applications to convexity are given.
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