TY  - JOUR
TI  - On orthogonally additive band operators and orthogonally additive disjointness preserving operators
AB  - Let M and N be Archimedean vector lattices. We introduce orthogonally additive band operators and orthogonally additive inverse band operators from M to N and examine their properties. We investigate the relationship between orthogonally additive band operators and orthogonally additive disjointness preserving operators and show that under some assumptions on vector lattices M or N , these two classes are the same. By using this relation, we show that if μ is a bijective orthogonally additive band operator (resp. orthogonally additive disjointness preserving operator) from M into N then μ−1 : N → M is an orthogonally additive band operator (resp. orthogonally additive disjointness preserving operator).
AU  - TÜLÜ, DEMET
AU  - TURAN, BAHRİ
DO  - 10.55730/1300-0098.3425
PY  - 2023
JO  - Turkish Journal of Mathematics
VL  - 47
IS  - 4
SN  - 1300-0098
SP  - 1258
EP  - 1266
DB  - TRDizin
UR  - http://search/yayin/detay/1180430
ER  -