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

Explore with Wolfram|Alpha

More things to try:

References

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

Referenced on Wolfram|Alpha

Cite this as:

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

Subject classifications