Spectral properties of partial *-algebras

Antoine, Jean-Pierre;Trapani, Camillo;Tschinke, Francesco
(2010) Mediterranean Journal of Mathematics — Vol. 7, n° 2, p. 123-142 (2010)

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Authors
  • Antoine, Jean-Pierreorcid-logoUCLouvain
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  • Trapani, Camillo
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  • Tschinke, Francesco
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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 first, in order to find sufficient 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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Antoine, J.-P., Trapani, C., & Tschinke, F. (2010). Spectral properties of partial *-algebras. Mediterranean Journal of Mathematics, 7(2), 123-142. https://doi.org/10.1007/s00009-010-0034-3 (Original work published 2010)