Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (3): 274-279.
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Zhong Huaijie
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In this paper, it is shown that the class of Riesz operators on the hereditarily indecomposable space X is the greatest notrivial operator ideal in B(X). The proof about the structure of operators in B(X) by Gowers W. T. and Maurey B. is also simplified. The concept of Quotient-Hereditarily Incompound spaces is introdused by using of the principle of duality. The corresponding results about operators on the Q. H. IC. space are obtained.
Key words: Banach spaces, Indecomposable, Incompound
Zhong Huaijie. On the Hereditarily Indecomposable and Quotient-Hereditarily Incompound Properties of Banach Spaces[J].Acta mathematica scientia,Series A, 1997, 17(3): 274-279.
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