On incomparability of Banach spaces (Q1081799)
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scientific article; zbMATH DE number 3971480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On incomparability of Banach spaces |
scientific article; zbMATH DE number 3971480 |
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On incomparability of Banach spaces (English)
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1986
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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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\textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces
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totally coincomparable Banach spaces
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