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Groups Of Positive Operators

Published online by Cambridge University Press:  20 November 2018

H. A. Dye  and
R. S. Phillips
H. A. Dye
Affiliation:
State University of Iowa University of Southern California
R. S. Phillips
Affiliation:
State University of Iowa University of Southern California
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 462 - 486
Copyright
Copyright © Canadian Mathematical Society 1956

References

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