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Applications of quotients of operator ideals in Banach space theory. (English) Zbl 0534.47022
This article surveys some results on Banach spaces which are linked with the concept of so-called quotient of operator ideals in Banach spaces [A. Pietsch: Operator ideals (1978; Zbl 0399.47039)]. Particular interest is given to conjugate ideals in the sense of Y. Gordon, D. R. Lewis and J. R. Retherford [J. Funct. Anal. 14, 85-129 (1973; Zbl 0272.47024)], see also [H. Jarchow and R. Ott: Math. Nachr. 108, 23-37 (1982; Zbl 0523.47030)], and to the description of three space properties in terms of quotients of operator ideals.
MSC:
47L10 Algebras of operators on Banach spaces and other topological linear spaces
46B20 Geometry and structure of normed linear spaces
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