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The Meaning of the Cauchy-Schwarz-Buniakovsky Inequality
1976
Proceedings of the American Mathematical Society
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It is proved that a mapping 7": X -* X* from a topological real vector space into its dual satisfies the inequality (Ty,x~) < (Tx,x}' ■ (Ty,yy if and only if it is the restriction of a positively homogeneous subdifferential operator. Received by the editors June 5, 1975. A MS (MOS) subject classifications (1970). Primary 47H05; Secondary 52A40, 26A86.
doi:10.2307/2042050
fatcat:p2zmtipk4nhkngy7hlid6zgj7q