The information manifold for relatively bounded forms

R. F. Streater

Published 1999-10-22, updated 1999-10-27Version 2

We 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.