Date of Award:
Master of Science (MS)
Mathematics and Statistics
Department name when degree awarded
Dr. S. G. Wayment
Since F. Riesz showed in 1909 that the dual of C[0, 1] is BV[0, 1] (the functions of bounded variation on [0, 1] with II g IIBV = V(g)) via the Stieltjes integral, obtaining representations for linear operators in various settings has been a problem of interest. This paper shows the historical manner of representations, the road map type theorems and representations obtained via the v-integral. (44 pages)
Hatta, Leiko, "Integral Representation Theorems" (1971). All Graduate Theses and Dissertations. 6845.