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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.
47L10 Algebras of operators on Banach spaces and other topological linear spaces
46B20 Geometry and structure of normed linear spaces