$L^p$-Spaces as Quasi *-Algebras

dc.creatorBagarello, F.
dc.creatorTrapani, C.
dc.date1994-10-05
dc.date.accessioned2026-07-07T09:13:30Z
dc.date.available2026-07-07T09:13:30Z
dc.descriptionThe Banach space $L^p(X,μ)$, for $X$ a compact Hausdorff measure space, is considered as a special kind of quasi *-algebra (called CQ*-algebra) over the C*-algebra $C(X)$ of continuous functions on $X$. It is shown that, for $p \geq 2$, $(L^p(X,μ), C(X))$ is *-semisimple (in a generalized sense). Some consequences of this fact are derived.
dc.description14 pages, AmsLatex
dc.identifierhttps://arxiv.org/abs/funct-an/9410002
dc.identifierhttp://arxiv.org/abs/funct-an/9410002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152345
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.title$L^p$-Spaces as Quasi *-Algebras
dc.typetext

Files

Collections