An entire free holomorphic function which is unbounded on the row ball

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-08-16 DOI:10.7900/jot.2019jun05.2242

J. Pascoe

引用次数: 1

Abstract

We give an entire free holomorphic function $f$ which is unbounded on the row ball. That is, we give a holomorphic free noncommutative function which is continuous in the free topology developed by Agler and McCarthy but is unbounded on the set of row contractions.

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在行球上无界的整个自由全纯函数

我们给出了一个在行球上无界的自由全纯函数f。也就是说，我们给出了一个在Agler和McCarthy发展的自由拓扑上连续但在行缩集上无界的全纯自由非交换函数。

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 Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.