HYPERCYCLIC OPERATORS ON ALGEBRA OF SYMMETRIC ANALYTIC FUNCTIONS ON l(p)

被引：1
|
作者：
Mozhyrovska, Z. H. [1 ]
机构：
[1] Lviv Univ Trade & Econ, 10 Tuhan Baranovskyi Str, UA-79005 Lvov, Ukraine
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2016年 / 8卷 / 01期
关键词：
hypercyclic operators; functional spaces; symmetric functions;
D O I：
10.15330/cmp.8.1.127-133
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, it is proposed a method of construction of hypercyclic composition operators on H(C-n) using polynomial automorphisms of C-n and symmetric analytic functions on l(p). In particular, we show that a "symmetric translation" operator is hypercyclic on a Frechet algebra of symmetric entire functions on l(p) which are bounded on bounded subsets.
引用
收藏
页码：127 / 133
页数：7
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