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 ope...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.展开更多
RECENTLY Gowers and Maurey constructed the first example of Banach space containing no unconditional basic sequence. We denote this space by X_G, in this note. Using the results in ref. [1], some further studies and r...RECENTLY Gowers and Maurey constructed the first example of Banach space containing no unconditional basic sequence. We denote this space by X_G, in this note. Using the results in ref. [1], some further studies and reconstructions of this space result in some satisfactory answers of a series of open questions in the Banach spaces theory. There is a general description about this remarkable development. Just as indicated in ref. [1], the most important characteristic of the Banach space X_G展开更多
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.
文摘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.
文摘RECENTLY Gowers and Maurey constructed the first example of Banach space containing no unconditional basic sequence. We denote this space by X_G, in this note. Using the results in ref. [1], some further studies and reconstructions of this space result in some satisfactory answers of a series of open questions in the Banach spaces theory. There is a general description about this remarkable development. Just as indicated in ref. [1], the most important characteristic of the Banach space X_G
