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On convexity and compactness in F-spaces with bases. (English) Zbl 0241.46007


MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
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.)
46A35 Summability and bases in topological vector spaces
Full Text: DOI