Groups Of Positive Operators

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Abstract
1. Introduction. Semi-groups of bounded positive operators on certain function spaces enter the theory of stochastic processes of the diffusion type in an essential way. It is a matter of experience that these semi-groups cannot be imbedded in groups of positive operators, or, in more special terms, that the solution of a diffusion equation does not define a one-parameter group of positive operators on the natural function space.

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