Mathematics – Operator Algebras
Scientific paper
2010-12-23
Rev. Bull. Calcutta Math. Soc., Vol. 14, No. 2 (2006), pp. 93-108
Mathematics
Operator Algebras
Scientific paper
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.
Goldstein Dmitry Sh.
Katz Alexander A.
Sklyar Roman
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