ACTA issues

On the representation of certain bilinear forms on ${\rm C}(T)$ and ${\rm L}^\infty(T)$

Zsolt Páles, Vera Zeidan

Acta Sci. Math. (Szeged) 63:3-4(1997), 497-511

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.)