Some G-M-type Banach spaces and K-groups of operator algebras on them  

作　　者：ZHONG Huaijie CHEN Dongxiao CHEN Jianlan Department of Mathematics, Fujian Normal University, Fuzhou 350007, China 

出　　处：《Science China Mathematics》2004年第3期372-392,共21页中国科学：数学（英文版）

基　　金：This Work was supported by the National Natural Science Foundation of China(Grant No.10171014);the Natural Science Foundation of Fujian Province of China.

摘　　要：By providing several new varieties of G-M-type Banachspaces according to decomposable and compoundable properties, this paper discusses the operator structures of thesespaces and the K-theory of the algebra of the operators on these G-M-type Banach spaces throughcalculation of the K-groups of the operator ideals contained in the class of Riesz operators.By providing several new varieties of G-M-type Banach spaces according to decomposable and compoundable properties, this paper discusses the operator structures of these spaces and the K-theory of the algebra of the operators on these G-M-type Banach spaces through calculation of the K-groups of the operator ideals contained in the class of Riesz operators.

关 键 词：incompoundable BANACH space  RADICAL operator ideal  BANACH algebra  K-theory. 

分 类 号：O177[理学—数学]