向量值Hardy空间上的复对称块Toeplitz算子
Complex Symmetric Block Toeplitz Operators on Vector-Valued Hardy Spaces
摘要:
块Toeplitz算子作为数学泛函分析中函数空间上的算子理论研究的重要内容，在物理学、量子力学等方面的模型建立、实际应用有着重要的作用。许多学者在向量值Hardy空间上研究了块Toeplitz算子的核，其正规性、亚正规性以及块复合算子。本文主要研究在向量值Hardy空间中的复对称块Toeplitz算子问题。
Abstract:
As an important part of the study of operator theory on function space in mathematical functional analysis, block Toeplitz operator plays an important role in the model building and practical application of physics, quantum mechanics and so on. Many scholars have studied the kernel, normality, hyponormality of block Toeplitz operators and block composition operators on vector-valued Hardy Spaces. In this paper, we study the problem of the complex symmetric block Toeplitz operator on the vector-valued Hardy Space.
参考文献
|
[1]
|
Jung, S., Ko, E. and Lee, J.E. (2013) On Complex Symmetric Operator Matrices. Journal of Mathematical Analysis and Applications, 406, 373-385. [Google Scholar] [CrossRef]
|
|
[2]
|
Kang, D.-O., Ko, E. and Lee, J.E. (2019) On Complex Symmetric Block Toeplitz Operators.
arXiv:1904.04410 [math.FA] [Google Scholar] [CrossRef]
|
|
[3]
|
Li, R., Yang, Y. and Lu, Y. (2020) A Class of Complex Symmetric Toeplitz Operators on Hardy and Bergman Spaces. Journal of Mathematical Analysis and Applications, 489, 124173. [Google Scholar] [CrossRef]
|