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.
2010
Settore MAT/05 - Analisi Matematica
Antoine, J., Trapani, C., Tschinke, F. (2010). Spectral properties of partial *-algebras. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2010 [DOI: 10.1007/s00009-010-0034-3].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/50031
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