AbstractLet T: E→F be a positive operator between two Riesz spaces with F Dedekind complete. The main purpose of this paper is to provide elementary proofs for the following two theorems. 1.1. The operator T is order continuous if and only if the null ideal of every operator satisfying 0≤ S≤T is a band.2.2. If Tn denotes the order continuous component of T, then Tn(ν)=inf{να:}O≤να↑
Polat In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K,E) and CDw(K,E) w...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
AbstractWe show that the orthogonality of order bounded finite rank operators T:E→E to the identity ...
AbstractWe present some relationships between the order and ring ideals generated by a positive oper...
AbstractWe present some relationships between the order and ring ideals generated by a positive oper...
Following several papers in the prior literature, we study the relationship between order bounded op...
The aim of the graduate work is to study order continuous operators on Riesz spaces and to determine...
The aim of the graduate work is to study order continuous operators on Riesz spaces and to determine...
AbstractWe prove an extension of Ando-Krieger's theorem for positive, irreducible, order continuous ...
ABSTRACT. Formulas for the order projection onto the band of abstract kernel operators are obtained....
AbstractAn equivalent condition is given for the existence of a strictly positive order continuous l...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
AbstractLet E and F be Banach lattices. Let G be a vector sublattice of E and T:G→F be an order cont...
AbstractWe show that the orthogonality of order bounded finite rank operators T:E→E to the identity ...
Polat In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K,E) and CDw(K,E) w...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
AbstractWe show that the orthogonality of order bounded finite rank operators T:E→E to the identity ...
AbstractWe present some relationships between the order and ring ideals generated by a positive oper...
AbstractWe present some relationships between the order and ring ideals generated by a positive oper...
Following several papers in the prior literature, we study the relationship between order bounded op...
The aim of the graduate work is to study order continuous operators on Riesz spaces and to determine...
The aim of the graduate work is to study order continuous operators on Riesz spaces and to determine...
AbstractWe prove an extension of Ando-Krieger's theorem for positive, irreducible, order continuous ...
ABSTRACT. Formulas for the order projection onto the band of abstract kernel operators are obtained....
AbstractAn equivalent condition is given for the existence of a strictly positive order continuous l...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
AbstractLet E and F be Banach lattices. Let G be a vector sublattice of E and T:G→F be an order cont...
AbstractWe show that the orthogonality of order bounded finite rank operators T:E→E to the identity ...
Polat In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K,E) and CDw(K,E) w...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
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