On the complexity of Hamel bases of infinite dimensional Banach spaces

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dc.creatorHalbeisen, Lorenz
dc.date2001-09-23
dc.date.accessioned2026-07-07T04:43:30Z
dc.date.available2026-07-07T04:43:30Z
dc.descriptionWe call a subset S of a topological vector space V linearly Borel, if for every finite number n, the set of all linear combinations of S of length n is a Borel subset of V. It will be shown that a Hamel base of an infinite dimensional Banach space can never be linearly Borel. This answers a question of Anatolij Plichko.
dc.identifierhttps://arxiv.org/abs/math/0109177
dc.identifierhttp://arxiv.org/abs/math/0109177
dc.identifierColloquium Mathematicum 89 (2001) 133-134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62251
dc.subjectLogic
dc.subject46B20; 54E52
dc.titleOn the complexity of Hamel bases of infinite dimensional Banach spaces
dc.typetext

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