Summing inclusion maps between symmetric sequence spaces
泛函分析
2007-05-23 v1
摘要
We prove a substantial extension of a well-known result due to Bennett and Carl: The inclusion of a 2-concave symmetric Banach sequence space E into l_2 is (E,1)-summing, i.e. for every unconditionally summable sequence (x_n) in E the scalar sequence (||x_n||_2) is contained in E. Various applications are given, e.g. to the theory of eigenvalue distribution of compact operators and approximation theory.
引用
@article{arxiv.math/0006034,
title = {Summing inclusion maps between symmetric sequence spaces},
author = {Andreas Defant and Mieczysław Mastyło and Carsten Michels},
journal= {arXiv preprint arXiv:math/0006034},
year = {2007}
}
备注
22 pages