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Abstract. The aim of this paper is to offer representation of bilinear forms defined either on ${\rm C}(T)$ or on ${\rm L}^\infty(T)$ and satisfying an a priori estimate. These representation theorems turn out to be useful in describing the generalized Hessians of $C^{1,1}$ functionals that are defined on the above spaces.
AMS Subject Classification
(1991): 28A99, 46A22, 49J52
Keyword(s):
Bilinear forms,
representation theory,
generalized Hessians
Received November 28, 1996. (Registered under 5780/2009.)
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