We continue our study of topological partial *algebras focusing our attention to some basic spectral properties. The special case of partial *- algebras of operators is examined ¯rst, in order to ¯nd su±cient hints for the study of the abstract case. The outcome consists in the selection of a class of topological partial *-algebras (partial GC*-algebras) that behave well from the spectral point of view and that allow, under certain conditions, a faithful realization as a partial O*-algebra.
Antoine, J., Trapani, C., Tschinke, F. (2010). Spectral properties of partial *-algebras. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2010 [DOI: 10.1007/s00009-010-0034-3].
Spectral properties of partial *-algebras
TRAPANI, Camillo;TSCHINKE, Francesco
2010-01-01
Abstract
We continue our study of topological partial *algebras focusing our attention to some basic spectral properties. The special case of partial *- algebras of operators is examined ¯rst, in order to ¯nd su±cient hints for the study of the abstract case. The outcome consists in the selection of a class of topological partial *-algebras (partial GC*-algebras) that behave well from the spectral point of view and that allow, under certain conditions, a faithful realization as a partial O*-algebra.
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