Unbounded norm convergence in Banach lattices

A net ( x α ) in a vector lattice X is unbounded order convergent to x ∈ X if | x α - x | ∧ u converges to 0 in order for all u ∈ X + . This convergence has been investigated and applied in several recent papers by Gao et al. It may be viewed as a generalization of almost everywhere convergence to g...

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Veröffentlicht in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis 2017-09, Vol.21 (3), p.963-974
Hauptverfasser:	Deng, Y., O’Brien, M., Troitsky, V. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of Variations and Optimal Control Optimization Convergence Econometrics Fourier Analysis Lattices (mathematics) Mathematics Mathematics and Statistics Operator Theory Potential Theory Studies
Online-Zugang:	Volltext
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