K-Theory for Algebras of Operators on Banach Spaces
نویسنده
چکیده
We prove that, for each pair (m,n) of non-negative integers, there is a Banach space X for which K0(B(X)) ∼= Z m and K1(B(X)) ∼= Z . 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.
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تاریخ انتشار 1997