On the spectral theory of Rickart Ordered *-algebras
Reviewed by Pithpith:QM4EPD64open to challenge →
classification
math.OA
math.FA
keywords
algebrasspectralalgebraboundedcommutativeconsidereddefinedelement
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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.
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