On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces (Q911004)
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scientific article; zbMATH DE number 4142810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces |
scientific article; zbMATH DE number 4142810 |
Statements
On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces (English)
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1989
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The following theorem is proved: If L is an epimorphism of a vector space V and maps a vector subspace W of V into a proper subspace of itself, then there is a smallest subspace E of V containing W such that \(L(E)=E\). Examples are given.
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surjectivity question
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axiom of choice
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epimorphism
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