紧致阿贝尔群上的紧致Hankel算子

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-05-05 DOI:10.1090/spmj/1715

A. Mirotin

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引用次数: 1

摘要

在描述G G上的紧汉克尔算子的结构的基础上，将Kronecker、Hartman、Peller和Adamyan-Arov-Krein的经典定理推广到具有线性有序字符群的连通紧阿贝尔群G G的背景下。推广了不变子空间上的Beurling定理。给出了离散群上Hankel算子的一些应用。

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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Compact Hankel operators on compact Abelian groups

The classical theorems of Kronecker, Hartman, Peller, and Adamyan–Arov–Krein are extended to the context of a connected compact Abelian group G G with linearly ordered group of characters, on the basis of a description of the structure of compact Hankel operators on G G . Beurling’s theorem on invariant subspaces is also generalized. Some applications to Hankel operators on discrete groups are given.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.