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- W2114765135 abstract "We show that if the conclusion of the well known Stampacchia Theorem on variational inequalities holds on a real Banach space X, then X is isomorphic to a Hilbert space. Motivated by this, we obtain a relevant result concerning self-dual Banach spaces and investigate some connections between properties of orthogonality relations, self-duality and Hilbert space structure. Moreover, we revisit the notion of the cosine of a linear operator and show that it can be used to characterize real Banach spaces that are isomorphic to a Hilbert space. Finally, we present some consequences of our results to quadratic forms and to evolution triples." @default.
- W2114765135 created "2016-06-24" @default.
- W2114765135 creator A5072760141 @default.
- W2114765135 date "2011-02-25" @default.
- W2114765135 modified "2023-10-16" @default.
- W2114765135 title "Stampacchia’s Property, Self-duality and Orthogonality Relations" @default.
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- W2114765135 doi "https://doi.org/10.1007/s11228-011-0175-y" @default.
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