On the spectral theory of Rickart Ordered *-algebras
Operator Algebras
2010-12-24 v1 Functional Analysis
Abstract
RO*-algebras are defined and studied. For RO*-algebra T, using properties of partial order, it is established that the set of bounded elements can be endowed with C*-norm. The structure of commutative subalgebras of T is considered and the Spectral Theorem for any self-adjoint element of T is proven.
Keywords
Cite
@article{arxiv.1012.5262,
title = {On the spectral theory of Rickart Ordered *-algebras},
author = {Dmitry Sh. Goldstein and Alexander A. Katz and Roman Sklyar},
journal= {arXiv preprint arXiv:1012.5262},
year = {2010}
}