Geodesic
Oka principle on the maximal ideal space of $ H^\infty$
Algebra i analiz, Tome 31 (2019) no. 5, pp. 24-89 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. Brudnyi. Oka principle on the maximal ideal space of $ H^\infty$. Algebra i analiz, Tome 31 (2019) no. 5, pp. 24-89. http://geodesic.mathdoc.fr/item/AA_2019_31_5_a1/

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