New Banach space properties of the disc algebra and \(H^{\infty}\) (Q1063834)
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scientific article; zbMATH DE number 3917011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New Banach space properties of the disc algebra and \(H^{\infty}\) |
scientific article; zbMATH DE number 3917011 |
Statements
New Banach space properties of the disc algebra and \(H^{\infty}\) (English)
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1984
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The purpose of this paper is to prove some new linear properties of the disc algebra A and the space \(H^{\infty}\) of bounded analytic functions on the unit disc. The numerous results established in this major work involve absolutely summing operators, cotype, finite rank projections, the Dunford-Pettis property and weak completeness. Moreover, the author solves several of the main problems that appeared in \textit{A. Pełczynski}'s notes [CBMS Reg. Conf., Kent State Univ. 1976, Reg. Conf. Ser. Math. 30 (1977; Zbl 0384.46015)].
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disc algebra
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absolutely summing operators
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cotype
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finite rank projections
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Dunford-Pettis property
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weak completeness
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0.9442122
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0.8831604
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0.8815056
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0.8803146
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0.8758947
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