On a Class of Subdiagonal Algebras

IF 0.7 4区数学 Q2 MATHEMATICS Complex Analysis and Operator Theory Pub Date : 2024-03-04 DOI:10.1007/s11785-024-01490-9

引用次数: 0

Abstract

We investigate some new classes of operator algebras which we call semi- $\sigma $ -finite subdiagonal and Riesz approximable. These constitute the most general setting to date for a noncommutative Hardy space theory based on Arveson’s subdiagonal algebras. We develop this theory and study the properties of these new classes.

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关于一类子对角线算法

Abstract We investigate some new classes of operator algebras which we call semi- $\sigma $ -finite subdiagonal and Riesz approximable.它们构成了迄今为止基于 Arveson 对角线下代数的非交换哈代空间理论的最一般的背景。我们发展了这一理论，并研究了这些新类的性质。

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.

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