Extensions of Markuševič bases (Q1895767)
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scientific article; zbMATH DE number 784097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extensions of Markuševič bases |
scientific article; zbMATH DE number 784097 |
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Extensions of Markuševič bases (English)
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13 August 1995
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We prove that if a subspace of a Banach space has a Corson compact dual ball, then any Markuševič basis (M-basis) on this subspace can be extended to a countably norming M-basis on the whole space provided it admits a countably norming M-basis. It is also shown that an M-basis on a subspace can be extended provided the factor space is separable. Some results on extending norming M-bases are also discussed.
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Corson compact dual ball
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Markuševič basis
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countably norming M- basis
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