  In this paper, we introduce a large class of (so-called) conditional
indicators, on a complete probability space with respect to a sub
$\sigma$-algebra. A conditional indicator is a positive mapping, which is not
necessary linear, but may share common features with the conditional
expectation, such as the tower property or the projection property. Several
characterizations are formulated. Beyond the definitions, we provide some non
trivial examples that are used in finance and may inspire new developments in
the theory of operators on Riesz spaces.
