3 papers
math.FA2025
On limited and almost limited operators between Banach lattices
Safak Alpay, Svetlana Gorokhova
We study (almost) limited operators in Banach lattices and their relations to L-weakly compact, semi-compact, and Dunford-Pettis operators. Several further related topics are inves…
math.FA2024
On collectively almost (limitedly, order) L-weakly compact sets of operators
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We prove collective versions of semi-duality theorems for sets of almost (limitedly, order) L-weakly compact operators.
math.FA2024
On aL(M)wc and oL(M)wc operators between Banach lattices
Safak Alpay, Svetlana Gorokhova
We study almost L(M) weakly compact and order L(M) weakly compact operators in Banach spaces. Several further topics related to these operators are investigated.