On incomparability of Banach spaces
Copyright policy )On incomparability of Banach spaces
We give a simpler proof of the well-known \textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces [J. Funct. Anal. 4, 167-175 (1969; Zbl 0181.154)] and we introduce a dual concept of incomparability: Two Banach spaces are said to be totally coincomparable if they have no isomorphic quotients of infinite-dimension. A characterization of totally coincomparable Banach spaces is given, relations between the two concepts are studied, and some interesting consequences are presented.
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510.mathematics, Geometry and structure of normed linear spaces, totally coincomparable Banach spaces, Classical Banach spaces in the general theory, \textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces, Article
510.mathematics, Geometry and structure of normed linear spaces, totally coincomparable Banach spaces, Classical Banach spaces in the general theory, \textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces, Article
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