K-theory for algebras of operators on Banach spaces

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dc.creatorLaustsen, Niels Jakob
dc.date1997-01-23
dc.date.accessioned2026-07-07T09:15:42Z
dc.date.available2026-07-07T09:15:42Z
dc.descriptionIt is proved that, for each pair (m,n) of non-negative integers, there is a Banach space X for which the group K_0(B(X)) is isomorphic to m copies of the integers and the group K_1(B(X)) is isomorphic to n copies of the integers. Along the way we compute the K-groups of all closed ideals of operators contained in the ideal of strictly singular operators, and we derive some results about the existence of splittings of certain short exact sequences.
dc.identifierhttps://arxiv.org/abs/math/9701206
dc.identifierhttp://arxiv.org/abs/math/9701206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153106
dc.subjectFunctional Analysis
dc.subject47D30, 19K99, 46B25, 47A53
dc.titleK-theory for algebras of operators on Banach spaces
dc.typetext

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