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Some G-M-type Banach spaces and K-groups of operator algebras on them 被引量:7

Some G-M-type Banach spaces and K-groups of operator algebras on them
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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.
出处 《Science China Mathematics》 SCIE 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.
关键词 incompoundable BANACH space RADICAL operator ideal BANACH algebra K-theory. incompoundable Banach space radical operator ideal Banach algebra K-theory
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