Several different notions of {\em bounded} element of a topological *-algebra $\A$ are considered. The case where boundedness is defined via the natural order of $\A$ is examined in more details and it is proved that under certain circumstances (in particular, when $\A$ possesses sufficiently many *-representations) {\em order boundedness} is equivalent to {\em spectral boundedness}.

Trapani, C. (2012). Order bounded elements of topological *-algebras. In Commun. Math. Appl (pp.99-108).

Order bounded elements of topological *-algebras

TRAPANI, Camillo
2012-01-01

Abstract

Several different notions of {\em bounded} element of a topological *-algebra $\A$ are considered. The case where boundedness is defined via the natural order of $\A$ is examined in more details and it is proved that under certain circumstances (in particular, when $\A$ possesses sufficiently many *-representations) {\em order boundedness} is equivalent to {\em spectral boundedness}.
2011
International Conference on Algebra, Topology and Topological Algebras
Vera Cruz, Mexico
5-7/01/2011
2012
10
Trapani, C. (2012). Order bounded elements of topological *-algebras. In Commun. Math. Appl (pp.99-108).
Proceedings (atti dei congressi)
Trapani, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/64125
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