Abstract
Let E, F be Archimedean Riesz spaces. We consider operators that map ideals of E to ideals of F and operators T for which, T −1 (I) is an ideal in E, for each ideal I in F. We study the properties of such operators and investigate their relation to disjointness preserving operators.
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Turan, B. On Ideal Operators. Positivity 7, 141–148 (2003). https://doi.org/10.1023/A:1025873520404
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DOI: https://doi.org/10.1023/A:1025873520404