Multiplicative functionals on algebras of differentiable functions (Q803879)
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scientific article; zbMATH DE number 4198806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative functionals on algebras of differentiable functions |
scientific article; zbMATH DE number 4198806 |
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Multiplicative functionals on algebras of differentiable functions (English)
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1992
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For a class of Banach spaces E including separable spaces and realcompact super-reflexive spaces, it is shown in this note that every nonzero scalar homomorphism on the algebra \(C^ m(\Omega)\) of all \(C^ m\)- functions defined on an open subset \(\Omega\) of E is given by evaluation at some point of \(\Omega\).
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multiplicative functionals on algebras of differentiable functions
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realcompact super-reflexive spaces
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evaluation
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