|
Organizers |
The partial sums of an infinite series and the range of a measure
by
Pieter Maritz
University of Stellenbosch, South Africa
The connection between the topological structure of the set of subsums of an infinite series and the range of a measure will be discussed.
The relevant historical developments since the early 1900's and the importance of some papers on ranges of measures published during the years 1940-1950 will be emphasised.
Of special importance in this development is the 1945-paper of K.R. Buch [1]. The mere existence of this paper gave new direction to the study of ranges of measures.
[1] K.R.Buch, Some investigations of the set of values of measures in abstract space, Videnskabernes Selskab, Matematisk-Fysiske Meddelelser, 21(9) (1945), Kopenhagen.
Date received: May 31, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagf-07.