Browsing by Author "yasad"
Now showing items 1-4 of 4
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-convergence in locally solid vector lattices
(Springer International Publishing, 2018)Let be a net in a locally solid vector lattice; we say that is unbounded-convergent to a vector if\(| x_\alpha-x|\wedge w\xrightarrow {\tau} 0\) for all. In this paper, we study general properties of unbounded-convergence ... -
Order convergence in infinite-dimensional vector lattices is not topological
(2017)In this note, we show that the order convergence in a vector lattice is not topological unless . Furthermore, we show that, in atomic order continuous Banach lattices, the order convergence is topological on order ... -
um-Topology in multi-normed vector lattices
(Springer International Publishing, 2018)Let be a separating family of lattice seminorms on a vector lattice X, then is called a multi-normed vector lattice (or MNVL). We write if for all . A net in an MNVL is said to be unbounded m-convergent (or um-convergent) ... -
Unbounded Convergence in the Convergence Vector Lattices: a Survey
(2018)on the occas'ion of hi,s 65th anniuersary Various convergences in vector lattices were historicalll' a subject of deep investigation v'hich stems from the begining of the 20th century in works of Riesz, Kantorovich, Nakano, ...