TY  - JOUR
TI  - Order compact and unbounded order compact operators
AB  - We investigate properties of order compact, unbounded order compact and relatively uniformly compactoperators acting on vector lattices. An operator is said to be order compact if it maps an arbitrary order bounded netto a net with an order convergent subnet. Analogously, an operator is said to be unbounded order compact if it mapsan arbitrary order bounded net to a net with uo-convergent subnet. After exposing the relationships between ordercompact, unbounded order compact, semicompact and GAM -compact operators; we study those operators mappingan arbitrary order bounded net to a net with a relatively uniformly convergent subnet. By using the nontopologicalconcepts of order and unbounded order convergences, we derive new results related to these classes of operators.
AU  - URGANCI, İrem Mesude
AU  - ERKURŞUN ÖZCAN, Nazife
AU  - GEZER, Niyazi Anıl
AU  - ÖZDEMİR, Şaziye Ece
DO  - 10.3906/mat-2004-68
PY  - 2021
JO  - Turkish Journal of Mathematics
VL  - 45
IS  - 2
SN  - 1300-0098
SP  - 634
EP  - 646
DB  - TRDizin
UR  - http://search/yayin/detay/443226
ER  -