Collective order convergence and collectively qualified sets of operators
Collective order convergence and collectively qualified sets of operators
Сибирские электронные математические известия, 23, 1, стр. 289-297 (2026)
Аннотация:
Collective versions of order convergences and corresponding types of collectively qualified sets of operators in vector lattices are investigated.
It is proved that collectively order to norm bounded sets are bounded in the operator norm and collectively order continuous sets are collectively order bounded.
Ключевые слова: vector lattice, order convergence, collectively qualified set of operators.