牛顿空间上Toeplitz算子的次正规性

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-05-21 DOI:10.1007/s43034-025-00423-7

Eungil Ko, Ji Eun Lee, Jongrak Lee

引用次数: 0

摘要

本文研究了牛顿空间上符号为解析或共解析的次正规Toeplitz算子的性质。建立了Toeplitz算子\(T_{\varphi }\)为次正规或正规的充分必要条件。此外，我们给出了这些结果的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hyponormality of Toeplitz operators on Newton spaces

In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator \(T_{\varphi }\) to be hyponormal or normal. Additionally, we give some applications of such results.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.