On certain classes of Markushevich bases (Q1327130)
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scientific article; zbMATH DE number 590075
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain classes of Markushevich bases |
scientific article; zbMATH DE number 590075 |
Statements
On certain classes of Markushevich bases (English)
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15 June 1994
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It is shown in this paper that if \(X\) is a Banach space for which \(X^*\) has a Markushevich basis \((u_ i,z_ i)\) with \([z_ i]\) containing \(X\) and \(B(X^*)\) is of countable tightness in the \(\omega^*\)-topology (see the paper for the technical definition), then \(X\) is weakly compactly generated. Other results (having similarly technical assumptions) which imply the non-existence of certain types of Markushevich bases are also derived.
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Markushevich basis
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countable tightness
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\(\omega^*\)-topology
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weakly compactly generated
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