Banach spaces with small spaces of operators

dc.creatorGowers, W. T.
dc.creatorMaurey, B.
dc.date1994-07-20
dc.date.accessioned2026-07-07T09:59:31Z
dc.date.available2026-07-07T09:59:31Z
dc.descriptionFor a certain class of algebras $\cal A$ we give a method for constructing Banach spaces $X$ such that every operator on $X$ is close to an operator in $\cal A$. This is used to produce spaces with a small amount of structure. We present several applications. Amongst them are constructions of a new prime Banach space, a space isomorphic to its subspaces of codimension two but not to its hyperplanes and a space isomorphic to its cube but not to its square.
dc.identifierhttps://arxiv.org/abs/math/9407209
dc.identifierhttp://arxiv.org/abs/math/9407209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168050
dc.subjectFunctional Analysis
dc.subject46B
dc.titleBanach spaces with small spaces of operators
dc.typetext

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