Positive Map

Let and be -algebras, then a linear map is said to be positive if . Here, is denoted the positive part of .

For example, every -homomorphism is positive (Murphy 1990).

This entry contributed by Mohammad Sal Moslehian

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References

Murphy, G. J. C-*-Algebras and Operator Theory. New York: Academic Press, 1990.

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Moslehian, Mohammad Sal. "Positive Map." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PositiveMap.html

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