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Some remarks on *-Baire-like and b-*-Baire-like spaces. (English) Zbl 0615.46001
An extension of the Banach-Mackey theorem is used to obtain the *-Baire- likeness of spaces lying between the product space \(E=\prod E_ s\) and the direct sum \(\oplus E_ s\), endowed with the product topology. The open mapping theorem for *-Baire-like spaces and the theorem of bilinear mappings are also obtained.
MSC:
46A08 Barrelled spaces, bornological spaces
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)
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References:
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