Presenter Information

J. J. Mitchell


Mathematics and Statistics

Research Advisor

Stanojevic, Caslav V., 1928-2008

Advisor's Department

Mathematics and Statistics


The invariance properties of the solutions of those functional equations naturally occurring in the construction of Mielnik probability spaces are studied, and in turn are related to one another. In particular, the possibilities for fixed points of these solutions are found, and the relationships between these results are discussed. The two functional equations studied include a representation of the generalized parallelogram law and an equation used in the modeling of polarization phenomena. The main result of the paper lies in the extention of previous research on Mielnik probability spaces to a higher dimension, as well as a discussion of their applicability in characterizing inner product spaces.

Document Type


Presentation Date

16 Apr 1992

Included in

Mathematics Commons