On incomparability of Banach spaces
type: Item
instance of: scholarly article
title: On incomparability of Banach spaces
zbMATH Open document ID: 0602.46015
DOI: 10.1007/BF01162705
author: Victor M. Onieva
author: M. González
published in: Mathematische Zeitschrift
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173758
review text: 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.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 3971480
zbMATH Keywords: \textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces
zbMATH Keywords: totally coincomparable Banach spaces
MaRDI profile type: Publication
cites work: Q4110164
cites work: Q4136031
cites work: On totally incomparable Banach spaces
cites work: Q4178057
OpenAlex ID: W2016682972
description: scientific article; zbMATH DE number 3971480