Foundations of Physics

, Volume 20, Issue 5, pp 477–498

The tensor product of generalized sample spaces which admit a unital set of dispersion-free weights

  • Robin H. Lock
Part I. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)

DOI: 10.1007/BF01883236

Cite this article as:
Lock, R.H. Found Phys (1990) 20: 477. doi:10.1007/BF01883236


Techniques for constructing the tensor product of two generalized sample spaces which admit unital sets of dispersion-free weights are discussed. A duality theory is developed, based on the 1-cuts of the dispersion-free weights, and used to produce a candidate for the tensor product. This construction is verified for Dacification manuals, a conjecture is given for other reflexive cases, and some adjustments for nonreflexive cases are considered. An alternate approach, using graphs of interpretation morphisms on the duals, is also presented.

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Robin H. Lock
    • 1
  1. 1.Department of MathematicsSt. Lawrence UniversityCanton