Products of quasi-measures
Author:
D. J. Grubb
Journal:
Proc. Amer. Math. Soc. 124 (1996), 2161-2166
MSC (1991):
Primary 28C05
DOI:
https://doi.org/10.1090/S0002-9939-96-03301-1
MathSciNet review:
1322927
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Abstract | References | Similar Articles | Additional Information
Abstract: A quasi-state is a positive functional on 
that is only assumed to be linear on singly-generated subalgebras. We consider the ``iterated integral'' of two quasi-states and determine when this gives a quasi-state on the product space. We also provide explicit formulas for the corresponding quasi-measures in case it does. Finally, we show the general failure of Fubini's Theorem for quasi-states.
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Additional Information
D. J. Grubb
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115
DOI:
https://doi.org/10.1090/S0002-9939-96-03301-1
Received by editor(s):
October 26, 1994
Received by editor(s) in revised form:
February 7, 1995
Communicated by:
J. Marshall Ash
Article copyright:
© Copyright 1996
American Mathematical Society
