On a problem by Arens, Goldberg, and Luxemburg

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dc.creatorRedheffer, Raymond
dc.creatorTao, Terence
dc.date2002-12-05
dc.date.accessioned2026-07-07T04:53:33Z
dc.date.available2026-07-07T04:53:33Z
dc.descriptionWe construct a normed algebra ${\calA}$ with norm $N(\cdot)$ over the reals, which is {\em quadrative} in the sense that $N(A^2) \le N(A)^2$ for all $A \in {\cal A}$, but is not 3-{\em bounded} in the sense that $N(A^3) \le N(A)^3$. This answers a question of Arens, Goldberg, and Luxemburg.
dc.description7 pages, 2 pictures, submitted, Pacific J. Math
dc.identifierhttps://arxiv.org/abs/math/0212075
dc.identifierhttp://arxiv.org/abs/math/0212075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65894
dc.subjectFunctional Analysis
dc.subject46J05
dc.titleOn a problem by Arens, Goldberg, and Luxemburg
dc.typetext

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