关于渐近和本质托普利兹和汉克尔积分算子

arXiv - MATH - Operator Algebras Pub Date : 2024-09-16 DOI:arxiv-2409.10014

C. Bellavita, G. Stylogiannis

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摘要

在本文中，我们考虑了作用于希尔伯特空间 $H^2$ 的广义积分算子。我们描述了这些算子是均匀、强和弱渐近托普利兹算子和汉克尔算子时的特征。此外，我们还完整地描述了这些算子本质上是 Hankel 算子和本质上是 Toeplitz 算子的符号 $g$。

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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On asymptotic and essential Toeplitz and Hankel integral operator

In this article we consider the generalized integral operators acting on the Hilbert space $H^2$. We characterize when these operators are uniform, strong and weakly asymptotic Toeplitz and Hankel operators. Moreover we completely describe the symbols $g$ for which these operators are essentially Hankel and essentially Toeplitz.

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arXiv - MATH - Operator Algebras

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