The Helton-Howe trace formula for the Drury-Arveson space

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-04-29 DOI:10.1016/j.jfa.2025.111037

Jingbo Xia

引用次数: 0

Abstract

The famous Helton-Howe trace formula was originally established for antisymmetric sums of Toeplitz operators on the Bergman space of the unit ball. We prove the analogue of this formula on the Drury-Arveson space.

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Drury-Arveson空间的Helton-Howe迹公式

著名的Helton-Howe迹公式最初是为单位球的Bergman空间上Toeplitz算子的反对称和而建立的。我们证明了该公式在Drury-Arveson空间上的类似性。

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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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis