Katsaras, A. K. Bimeasures on topological spaces. (English) Zbl 0587.28009 Glas. Mat., III. Ser. 20(40), 35-49 (1985). Let X, Y be completely regular spaces, \(C^ b(X)\) the space of bounded real continuous functions on X, B(X) the algebra generated by the zero subsets of X and \(\Omega =B(X)\times B(Y).\) We examine the relationship between continuous bilinear maps on \(C^ b(X)\times C^ b(Y)\) and the bimeasures on \(\Omega\) which are of bounded semivariation. We also look at an analogous problem for vector-valued bilinear maps on \(C^ b(X)\times C^ b(Y).\) Cited in 5 Documents MSC: 28C15 Set functions and measures on topological spaces (regularity of measures, etc.) 54C40 Algebraic properties of function spaces in general topology Keywords:completely regular spaces; space of bounded real continuous functions; bilinear maps; bimeasures; vector-valued bilinear maps PDFBibTeX XMLCite \textit{A. K. Katsaras}, Glas. Mat., III. Ser. 20(40), 35--49 (1985; Zbl 0587.28009)