The Kernels of Hankel Operators on the Full Fock Space

被引：0
|
作者：
Zhu, Senhua [1 ]
Lu, Yufeng [1 ]
机构：
[1] Dalian Univ Technol, Dept Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Full Fock space; Hankel operator; Invariant subspace; MULTI-ANALYTIC OPERATORS; INVARIANT SUBSPACES; INFINITE SEQUENCES; MODELS; FACTORIZATION; REFLEXIVITY;
D O I：
10.1007/s11785-022-01316-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the kernels of Hankel operators on the full Fock space. Firstly, we study the matrix and the symbol of S-Toeplitz operators and S-Hankel operators; Secondly, we show that there exists a strong cyclic vector for S(& lowast; )by Champernowne sequence; as an application, we show that the invariant subspaces of S and the kernels of Hankel operators are one to one.
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页数：22
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