Fock空间亚正规的Toeplitz算子
Hyponormal Toeplitz Operators on the Fock Space
DOI: 10.12677/AAM.2022.118537, PDF,   
作者: 邓开予：辽宁师范大学数学学院，辽宁 大连
关键词: Fock空间；Toeplitz算子；亚正规；零点；Fock Space； Toeplitz Operators； Hyponormal； Zero Point
摘要: 本文主要通过Fock空间上Toeplitz算子符号函数的零点来刻画其亚正规性。首先介绍了以为符号的Toeplitz算子亚正规性的充分必要条件，其次描述了分别以和为符号的Toeplitz算子亚正规性的必要条件。
Abstract: In this paper, we mainly characterize the hyponormality of Toeplitz operator on Fock space in terms of the zeros of symbolic functions. Firstly, we introduce sufficient and necessary conditions for the hyponormality of Toeplitz operators with symbol . Next we find the necessary condi-tions for the hyponormality of Toeplitz operators with symbol and .
文章引用：邓开予. Fock空间亚正规的Toeplitz算子[J]. 应用数学进展, 2022, 11(8): 5122-5127. https://doi.org/10.12677/AAM.2022.118537

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