Spectral properties of partial *-algebras

Francesco Tschinke, Camillo Trapani, Jean-Pierre Antoine

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Abstract

We continue our study of topological partial *algebras focusing ourattention to some basic spectral properties. The special case of partial *-algebras of operators is examined ¯rst, in order to ¯nd su±cient hints for thestudy of the abstract case. The outcome consists in the selection of a class oftopological partial *-algebras (partial GC*-algebras) that behave well fromthe spectral point of view and that allow, under certain conditions, a faithfulrealization as a partial O*-algebra.
Lingua originaleEnglish
Numero di pagine20
RivistaMediterranean Journal of Mathematics
Volume2010
Stato di pubblicazionePublished - 2010

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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