Perturbations in Muntz's theorem

被引：4

作者：

Spalsbury, Angela ^{[1
]}

机构：

[1] Youngstown State Univ, Dept Math & Stat, Youngstown, OH 44555 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2008年 / 150卷 / 01期

关键词：

Muntz's theorem; composition operators; cyclic vectors; invariant subspaces;

D O I：

10.1016/j.jat.2007.05.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize parts of the Muntz-Szasz theorem by considering the denseness of sets span {x(lambda 1), x(lambda 2),...}, where the;lambda(1)'s grow polynomially. We develop a new interpolation technique to illustrate more precisely what is missing from the closure of the Muntz sets. This is a robust technique which allows for perturbations. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：48 / 68

页数：21

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