Isometries between groups of invertible elements in Banach algebras

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dc.creatorHatori, Osamu
dc.date2009-04-14
dc.date.accessioned2026-07-07T13:03:42Z
dc.date.available2026-07-07T13:03:42Z
dc.descriptionWe show that if $T$ is an isometry (as metric spaces) from an open subgroup of the group of the invertible elements in a unital semisimple commutative Banach algebra onto an open subgroup of the group of the invertible elements in a unital Banach algebra, then $T(1)^{-1}T$ is an isometrical group isomorphism. In particular, $T(1)^{-1}T$ is extended to an isometrical real algebra isomorphism from $A$ onto $B$.
dc.description13pages
dc.identifierhttps://arxiv.org/abs/0904.2074
dc.identifierhttp://arxiv.org/abs/0904.2074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226897
dc.subjectFunctional Analysis
dc.subject47B48, 46B04
dc.titleIsometries between groups of invertible elements in Banach algebras
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