scientific article; zbMATH DE number 1463317

zbMath0949.40001MaRDI QIDQ4487409

Iwo Labuda, Drewnowski, Lech

Publication date: 3 December 2000

Full work available at URL: https://eudml.org/doc/216690

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zbMATH Keywords

Banach spaceBochner spacelacunary subseries

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30) Isomorphic theory (including renorming) of Banach spaces (46B03) Vector-valued measures and integration (46G10) Ordered topological linear spaces, vector lattices (46A40)

Related Items (6)

Subseries convergence and localization properties in sequence spaces supported by ideals in \(\mathcal{P}(\mathbb{N})\) ⋮ Ideals of subseries convergence and \(F\)-spaces ⋮ Lacunary convergence of series in $L_0$ ⋮ Solid sequence \(F\)-spaces of \(L_{0}\)-type over submeasures on \(\mathbb N\) ⋮ Weak statistical convergence and weak filter convergence for unbounded sequences ⋮ Stable Kneser hypergraphs and ideals in $\mathbb {N}$ with the Nikodým property

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