K-theory for algebras of operators on Banach spaces

被引：14

作者：

Laustsen, NJ ^{[1
]}

机构：

[1] Odense Univ, Dept Math & Comp Sci, DK-5230 Odense M, Denmark

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1999年 / 59卷

关键词：

D O I：

10.1112/S0024610799007206

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that, for each pair (m, n) of non-negative integers, there is a Banach space X for which K-0(B(X)) congruent to Z(m) and K-1(B(X)) congruent to Z(n). The K-groups of all closed ideals of operators contained in the ideal of strictly singular operators are computed, and some results about the existence of splittings of certain short exact sequences are derived.

引用

页码：715 / 728

页数：14

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