Eigenstates of C*-Algebras
Operator Algebras
2021-02-16 v1 Mathematical Physics
math.MP
Abstract
We introduce the notion of eigenstate of an operator in an abstract C*-algebra, and prove several properties. Most significantly, if the operator is self-adjoint, then every element of its spectrum has a corresponding eigenstate.
Cite
@article{arxiv.2102.07049,
title = {Eigenstates of C*-Algebras},
author = {Luther Rinehart},
journal= {arXiv preprint arXiv:2102.07049},
year = {2021}
}