Hilbert norms for graded algebras

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dc.creatorKupsch, Joachim
dc.creatorSmolyanov, Oleg G.
dc.date1997-12-15
dc.date2000-12-13
dc.date.accessioned2026-07-07T03:24:40Z
dc.date.available2026-07-07T03:24:40Z
dc.descriptionThis paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous. 2) Such norms cannot be chosen to be submultiplicative and equal to one on the unit of the algebra.
dc.description8 pages, extended introduction and list of references
dc.identifierhttps://arxiv.org/abs/funct-an/9712005
dc.identifierhttp://arxiv.org/abs/funct-an/9712005
dc.identifierProc. Amer. Math. Soc. 128 (1999) 1647-1653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33419
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject16W50, 46C05, 46H25
dc.titleHilbert norms for graded algebras
dc.typetext

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