Super Hilbert Spaces
arXiv:math-ph/9910047 · doi:10.1007/s002200000281
Abstract
The basic mathematical framework for super Hilbert spaces over a Grassmann algebra with a Grassmann number-valued inner product is formulated. Super Hilbert spaces over infinitely generated Grassmann algebras arise in the functional Schroedinger representation of spinor quantum field theory in a natural way.
Version for Communication in Mathematical Physics; several typos corrected and one example rewritten and expanded