Study of CP violation in Dalitz-plot analyses of B0 → K+K-Ks0, B+ → K+K-K+, and B+ → Ks0Ks0K+

We perform amplitude analyses of the decays B0 → K+K-Ks0, B+ → K+K-K+, and B+ →, and measure CP-violating parameters and partial branching fractions. The results are based on a data sample of approximately 470 x 106 B(bar B) decays, collected with the BABAR detector at the PEP-II asymmetric-energy B factory at the SLAC National Accelerator Laboratory. For B+ → K+K-K+, we find a direct CP asymmetry in B+ → φ(1020)K+ of ACP = (12.8 ± 4.4 ± 1.3)%, which differs from zero by 2.8σ. For B0 → K+K-Ks0, we measure the CP-violating phase βeff (φ(1020)Ks0) = (21 ± 6 ± 2)o. For B+ → Ks0Ks0K+, we measure an overall direct CP asymmetry of ACP = (4-5+4 ± 2)%. We also perform an angular-moment analysis of the three channels, and determine that the fX(1500) state can be described well by the sum of the resonances f0(1500), f(prime)2(1525), and f0(1710).