17 citations · 33 across the 11 of their papers we have counts for
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3 papers · 1 filter
math.FA2025
Bourgain-uo sequential completeness in vector lattices
Tomasz Kania, Jarosław Swaczyna
We revisit Bourgain's 1981 counterexample to the sequential completeness of the `pointwise plus domination' convergence on from the perspective of vector lattices. In this…
math.FA2025
The -property of a Banach space along a filter
Tomasz Kania, Jarosław Swaczyna
We examine the analyticity of the class of separable Banach spaces possessing the -property, defined in terms of convergence along a filter. Our results establish that this clas…
math.FA2025
Zoo of ideal Schauder basis
Adam Kwela, Jarosław Swaczyna
We investigate the notion of filter (equivalently: ideal) Schauder basis of a Banach space. We do so by providing bunch of new examples of such bases that are not the standard ones…