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Displaying 41 – 60 of 101

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On matrix rapid filters

Winfried Just, Peter Vojtáš (1997)

Fundamenta Mathematicae

Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.

On sequences in vector lattices

Ján Jakubík (1995)

Mathematica Bohemica

In this paper we investigate conditions for a system of sequences of elements of a vector lattice; analogous conditions for systems of sequences of reals were studied by D. E. Peek.

On sequences not enjoying Schur’s property

Pablo Jiménez-Rodríguez (2017)

Open Mathematics

Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.

Currently displaying 41 – 60 of 101