Order Bounded Elements of Topological *-algebras

C. Trapani

Abstract


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

Keywords


Topological *-algebras; Bounded elements

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DOI: http://dx.doi.org/10.26713%2Fcma.v3i1.148

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