Oka principle on the maximal ideal space of 𝐻^{∞},St. Petersburg Mathematical Journal

当前位置： X-MOL 学术 › St. Petersburg Math. J. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Oka principle on the maximal ideal space of 𝐻^{∞}
St. Petersburg Mathematical Journal ( IF 0.8 ) Pub Date : 2020-09-03 , DOI: 10.1090/spmj/1623
A. Brudnyi

Abstract:The classical Grauert and Ramspott theorems constitute the foundation of the Oka principle on Stein spaces. In this paper, similar results are established on the maximal ideal space $M(H^\infty )$ of the Banach algebra $H^\infty$ of bounded holomorphic functions on the open unit disk $\mathbb{D}\subset \mathbb{C}$ . The results are illustrated by some examples and applications to the theory of operator-valued $H^\infty$ functions.

中文翻译：

ideal ^ {∞}的最大理想空间的Oka原理

摘要：经典的Grauert和Ramspott定理构成了Stein空间上Oka原理的基础。本文在开放单位圆盘上有界全纯函数的Banach代数的最大理想空间上建立了相似的结果。通过一些示例说明了结果，并将其应用于算子值函数的理论。 $M（H ^ \ infty）$ $H ^ \ infty$ $\ mathbb {D} \ subset \ mathbb {C}$ $H ^ \ infty$

更新日期：2020-10-28

点击分享查看原文

点击收藏

阅读更多本刊最新论文

全部期刊列表>>