Operator representations of logmodular algebras which admit $\gamma-$spectral $\rho-$dilations

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2012-05-01 DOI:10.3934/ERA.2012.19.49

A. Juratoni, F. Pater, O. Bundau

引用次数: 0

Abstract

This paper deals with some semi-spectral representations of logmodular algebras. More exactly, we characterize such representations by the corresponding scalar semi-spectral measures. In the case of a logmodular algebra we obtain, for $0<\rho \leq 1,$ several results which generalize the corresponding results of Foias-Suciu [2] in the case $\rho =1.$

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允许$\gamma-$谱$\rho-$膨胀的对数模代数的算子表示

本文讨论对数模代数的一些半谱表示。更确切地说，我们用相应的标量半谱度量来表征这种表示。对于对数模代数，我们得到了$0<\rho \leq 1,$的几个结果，推广了Foias-Suciu[2]在这种情况下的相应结果 $\rho =1.$

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

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007