The meaning of the Cauchy-Schwarz-Buniakovsky inequality
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- by Eduardo H. Zarantonello PDF
- Proc. Amer. Math. Soc. 59 (1976), 133-137 Request permission
Abstract:
It is proved that a mapping $T:X \to {X^{\ast }}$ from a topological real vector space into its dual satisfies the inequality $\langle Ty,x\rangle \leqslant {\langle Tx,x\rangle ^{1/2}} \cdot {\langle Ty,y\rangle ^{1/2}}$ if and only if it is the restriction of a positively homogeneous subdifferential operator.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 133-137
- MSC: Primary 47H05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0473931-0
- MathSciNet review: 0473931