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arXiv · 1012.5262

On the spectral theory of Rickart Ordered *-algebras

Dmitry Sh. Goldstein·Alexander A. Katz·Roman Sklyar
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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.

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Dmitry Sh. Goldstein, Alexander A. Katz, Roman Sklyar. 2010-12-23. On the spectral theory of Rickart Ordered *-algebras. https://arxiv.org/abs/1012.5262

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