The Frobenius theorem for a class of locally convex spaces (Q752415)
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scientific article; zbMATH DE number 4177888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Frobenius theorem for a class of locally convex spaces |
scientific article; zbMATH DE number 4177888 |
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The Frobenius theorem for a class of locally convex spaces (English)
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1989
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The author gives a sketch of proofs of the Frobenius theorem concerning the existence and unicity of solutions of the equation \(y'=f(x,y)\) in projective limits of Banach spaces and the converse to the first Lie theorem concerning the equation \(F'=v^{-1}(F)v\), where v: \(U\to Aut(X)\) and X is a projective limit of Banach spaces.
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Frobenius theorem
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projective limits of Banach spaces
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converse to the first Lie theorem
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