Polynomially spectrum-preserving maps between commutative Banach algebras

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dc.creatorHatori, Osamu
dc.creatorMiura, Takeshi
dc.creatorTakagi, Hiroyuki
dc.date2009-04-15
dc.date.accessioned2026-07-07T13:04:14Z
dc.date.available2026-07-07T13:04:14Z
dc.descriptionLet $A$ and $B$ be unital semi-simple commutative Banach algebras. In this paper we study two-variable polynomials $p$ which satisfy the following property: a map $T$ from $A$ onto $B$ such that the equality \[ σ(p(Tf,Tg))=σ(p(f,g)), \quad f,g \in A \] holds is an algebra isomorphism.
dc.description14pages
dc.identifierhttps://arxiv.org/abs/0904.2322
dc.identifierhttp://arxiv.org/abs/0904.2322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227093
dc.subjectFunctional Analysis
dc.subject46J10, 47B48
dc.titlePolynomially spectrum-preserving maps between commutative Banach algebras
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