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This article is cited in 4 scientific papers (total in 4 papers)
Research Papers
Oka principle on the maximal ideal space of $ H^\infty$
A. Brudnyi Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4
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.
Keywords:
oka principle, maximal ideal space of $H^\infty$, Grauert theorem, Ramspott theorem.
Received: 14.06.2018
Citation:
A. Brudnyi, “Oka principle on the maximal ideal space of $ H^\infty$”, Algebra i Analiz, 31:5 (2019), 24–89; St. Petersburg Math. J., 31:5 (2020), 769–817
Linking options:
https://www.mathnet.ru/eng/aa1668 https://www.mathnet.ru/eng/aa/v31/i5/p24
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Abstract page: | 165 | Full-text PDF : | 19 | References: | 22 | First page: | 9 |
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