In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove that under some conditions the inverse is holds.
Haghnejad azar,K and Bahramnezhad,A . (2026). Some properties of b-weakly compact operators on Banach lattices. Mathematical Research, 7(4), 727-734.
MLA
Haghnejad azar,K , and Bahramnezhad,A . "Some properties of b-weakly compact operators on Banach lattices", Mathematical Research, 7, 4, 2026, 727-734.
HARVARD
Haghnejad azar K, Bahramnezhad A. (2026). 'Some properties of b-weakly compact operators on Banach lattices', Mathematical Research, 7(4), pp. 727-734.
CHICAGO
K Haghnejad azar and A Bahramnezhad, "Some properties of b-weakly compact operators on Banach lattices," Mathematical Research, 7 4 (2026): 727-734,
VANCOUVER
Haghnejad azar K, Bahramnezhad A. Some properties of b-weakly compact operators on Banach lattices. Mathematical Research. 2026;7(4):727-734 (In Persian).
Mathematical Research