Calcular代数

Mathematical Proceedings of the Royal Irish Academy Pub Date : 2019-06-27 DOI:10.3318/pria.2019.119.05

J. Agler, John E. McCarthy, N. Young

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引用次数: 1

摘要

计算代数是$H^\infty(\Omega)$的一个子代数，其范数由$\| \phi \| = \sup \| \phi(T) \|$给出，其范围为$T$在$\O$中具有泰勒谱的运算符的可交换$d$元组的给定类上。我们讨论了什么代数是这样产生的，以及它们是如何表示的。

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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Calcular algebras

A calcular algebra is a subalgebra of $H^\infty(\Omega)$ with norm given by $\| \phi \| = \sup \| \phi(T) \|$ as $T$ ranges over a given class of commutative $d$-tuples of operators with Taylor spectrum in $\O$. We discuss what algebras arise this way, and how they can be represented.

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Mathematical Proceedings of the Royal Irish Academy

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