Author:
Sánchez F. Cabello,Castillo J. M. F.,García R.
Abstract
Abstract
The purpose of this paper is to lay the foundations for the study of the problem of when
in Banach spaces. We provide a number of examples of couples
,
such that
is (or is not)
. We show that
for all
when
is the Kadec space. In particular, both the projective and injective dimensions of
are infinite.
Bibliography: 48 titles.
Funder
Ministerio de Ciencia e Innovación de España
Junta de Extremadura
Subject
Algebra and Number Theory
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. The Rochberg garden;Expositiones Mathematicae;2023-06
2. On the category of quotient Banach spaces after Wegner;Journal of Pure and Applied Algebra;2023-01
3. On the Ext2-problem for Hilbert spaces;Journal of Functional Analysis;2021-02