The information manifold for relatively bounded forms

Details The information manifold for relatively bounded forms The information manifold for relatively bounded forms

1999-10-22

arxiv.org/abs/math-ph/9910035v2

Physics

Mathematical Physics

27 pages LATEX; to appear in the Bogoliubov Memorial Volume, ed A. A. Slavnov, Moscow 2000

Scientific paper

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.

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