On the spectrum of \(C^ 1_ b(E)\) (Q1823429)
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scientific article; zbMATH DE number 4115299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectrum of \(C^ 1_ b(E)\) |
scientific article; zbMATH DE number 4115299 |
Statements
On the spectrum of \(C^ 1_ b(E)\) (English)
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1990
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Let E be a real Banach space ad \(C^ 1_ b(E)\) the algebra of all functions f:E\(\to {\mathbb{R}}\), of class \(C^ 1\), such that f and its derivative \(df:E\to E'\) are bounded on bounded subsets of E. In this paper a characterization of the spectrum of the algebra \(C^ 1_ b(E)\), when E is a real superreflexive Banach space, is given.
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real superreflexive Banach space
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