Topology of the Maximal Ideal Space of H∞
✍ Scribed by Alexander Brudnyi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 252 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
We give a topological description of the maximal ideal space M(H . ) of the algebra H . =H . (D) of bounded analytic functions defined on the open unit disk D … C. Our results are based on a construction describing maximal ideal spaces of certain algebras of continuous functions defined on the covering spaces of compact manifolds.
📜 SIMILAR VOLUMES
We prove that every maximal cofinitary group has size at least the cardinality of the smallest non-meager set of reals. We also provide a consistency result saying that the spectrum of possible cardinalities of maximal cofinitary groups may be quite arbitrary.