2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148902The positivity constraints to the structure functions for the inclusive spin-half baryon production by a time-like photon fragmentation are investigated. One conclusion is that $\hat F$, which arises from the hadronic final-state interactions, is subjected to an inequality between its absolute value and the two spin-independent structure functions. On the basis of this finding, we derive a formula through which the upper limits can be given for the transverse polarization of the inclusively detected spin-half baryons in unpolarized electron-positron annihilation. The derived upper bound supplies a consistency check for the judgement of reliability of experimental data and model calculations.final version to appear in Z. Phys. C, references updatedHigh Energy Physics - PhenomenologyPositivity restrictions to the transverse polarization of the inclusively detected spin-half baryons in unpolarized electron-positron annihilationtext