Banach spaces of homogeneous polynomials without the approximation property

被引：0

作者：

Seán Dineen

Jorge Mujica

机构：

[1] University College Dublin,School of Mathematical Sciences

[2] Universidade Estadual de Campinas,Department of Mathematics

来源：

Czechoslovak Mathematical Journal | 2015年 / 65卷

关键词：

Banach space; approximation property; linear operator; homogeneous polynomial; holomorphic function; 46G25; 46G20; 46B28;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present simple proofs that spaces of homogeneous polynomials on Lp[0, 1] and ℓp provide plenty of natural examples of Banach spaces without the approximation property. By giving necessary and sufficient conditions, our results bring to completion, at least for an important collection of Banach spaces, a circle of results begun in 1976 by R. Aron and M. Schottenloher (1976).

引用

页码：367 / 374

页数：7

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