  In this paper the bootstrap conditions that follow from the general
postulates of effective scattering theory (EST) are checked in the strange
sector. We construct the system of tree level bootstrap constraints for the
renormalization prescriptions fixing the physical content of the theory. Then
we perform the numerical testing of corresponding sum rules for the parameters
of strange resonances. It is shown that, generally, the bootstrap constraints
turn out consistent with presently known data on the strange resonance
parameters. At the same time we point out few sum rules which cannot be
saturated with modern data and discuss the possible reasons for such
discrepancies.
