On the equivalence relations of physical hilbert space and hardy space

Abstract EN

We determined some equivalence relations in, of the finite states on Hardy space by considering the variety of representations of the generalized Kodama states including a generalization on infinite dimensional spaces that was provided by Eyo Eyo Ita in.

Here we show that, there are equivalence relations, of quantum physical states, on Hardy space, and the space of inner and outer functions on Hardy space is the physical Hilbert space.

KEYWORDS: Hilbert space, Quantum states, Physical Hilbert space, Hardy space.