Symmetric polynomials on rearrangement-invariant function spaces

被引：68

作者：

González, M

Gonzalo, R

Jaramillo, JA

机构：

[1] Univ Cantabria, Fac Ciencias, Santander 39071, Spain

[2] Univ Complutense, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1999年 / 59卷

关键词：

D O I：

10.1112/S0024610799007164

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The exact representation of symmetric polynomials on Banach spaces with symmetric basis and also on separable rearrangement-invariant function spaces over [0, 1] and [0, infinity) is given. As a consequence of this representation it is obtained that, among these spaces, l(2n), L-2n[0, 1], L-2n[0, infinity) and L-2n[0, infinity) boolean AND L-2n[0, infinity) where n, nl are both integers are the only spaces that admit separating polynomials.

引用

页码：681 / 697

页数：17

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