The spectra of some algebras of analytic mappings. (English) Zbl 1029.46504
Summary: Let \(E\) be a Banach space with the approximation property and let \(F\) be a Banach algebra with identity. We study the spectrum of the algebra \({\mathcal H}_b(E,F)\) of all holomorphic mappings \(f:E\to F\) that are bounded on the bounded subsets of \(E\).
MSC:
| 46G20 | Infinite-dimensional holomorphy |
| 46H10 | Ideals and subalgebras |
| 46J20 | Ideals, maximal ideals, boundaries |
References:
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