2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58418We construct a Banach manifold of states, which are Gibbs states for potentials that are form-bounded in the sense of Kato relative to the free Hamiltonian. We construct the (+1)-affine structure and the (+1)-affine connection in the sense of Amari.27 pages LATEX; to appear in the Bogoliubov Memorial Volume, ed A. A. Slavnov, Moscow 2000Mathematical PhysicsFunctional Analysis58B20;53C80text