Date of Award:
5-1971
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
S. G. Wayment
Committee
S. G. Wayment
Abstract
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 || g ||BV = 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.
Checksum
1bbcd7a6008484e115c6b6d00ca1fe51
Recommended Citation
Hatta, Leiko, "Integral Representation Theorems" (1971). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6845.
https://digitalcommons.usu.edu/etd/6845
Included in
Copyright for this work is retained by the student. If you have any questions regarding the inclusion of this work in the Digital Commons, please email us at .