Hardy空间2核张量积上的Toeplitz类算子

WSEAS Transactions on Mathematics archive Pub Date : 2021-05-20 DOI:10.37394/23206.2021.20.26

A. Shatarah

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引用次数: 0

摘要

本文研究了向量值Hardy空间上的Toeplitz类算子。利用Banach空间的p核张量积理论，构造并描述了Hardy空间的2核张量积上的Toeplitz类算子，分析了它们的基本代数性质和谱。关键词:Toeplitz类算子，hardy空间的2核张量积。收稿日期:2021年1月26日。修订日期:2021年5月6日。录用日期:2021年5月14日。发布日期:2021年5月20日。

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Toeplitz Like Operators on 2-nuclear Tensor Product of Hardy Spaces

in this paper, we investigated Toeplitz like operators on vector valued Hardy spaces. Toeplitz like operators on 2-nuclear tensor product of Hardy spaces are then constructed and described using the theory of p-nuclear tensor product of Banach spaces, and their basic algebraic properties and spectrum are analyzed. Key-Words: Toeplitz like operators , 2-nuclear tensor product of hardy spaces. Received: January 26, 2021. Revised: May 6, 2021. Accepted: May 14, 2021. Published: May 20, 2021.

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WSEAS Transactions on Mathematics archive

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