1997/01/23 by Niels Jakob Laustsen, Laustsen, Niels Jakob
Mathematics · #19K99 #46B25 #47A53 #47D30 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:19K99 #msc:46B25 #msc:47A53 #msc:47D30
paper · pdf · doi:10.48550/arxiv.math/9701206
arxiv created 1997/01/23 · openalex publication_date 1997/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is proved that, for each pair (m,n) of non-negative integers, there is a Banach space X for which the group K0(B(X)) is isomorphic to m copies of the integers and the group K1(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.