Nontrivial expansions of zero absolutely representing systems (Q1907438)
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scientific article; zbMATH DE number 846511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial expansions of zero absolutely representing systems |
scientific article; zbMATH DE number 846511 |
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Nontrivial expansions of zero absolutely representing systems (English)
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21 February 1996
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The author introduces a method for constructing a sequence \(\{e(\lambda_k)\}_{k=1}^\infty\) in a Fréchet space \(F\) (where for each \(\lambda\in\mathbb{C}\) the vector \(e(\lambda)\) spans a one-dimensional subspace of solutions to an operator equation \(My= \lambda y)\) with the property that every element in \(F\) has an absolutely convergent expansion of the form \(\sum_{k=1}^\infty c_k e(\lambda k)\).
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Fréchet space
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absolutely convergent expansion
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