Lattice Ordering on Banach Spaces1

The ¿-norm Extension Property for Banach Spaces1

Order and Commutativity in Banach Algebras

S. Sherman has shown [4] that if the self adjoint elements of a C* algebra form a lattice under their natural ordering the algebra is necessarily commutative. In this note we extend this result to real Banach algebras with an identity and arbitrary Banach * algebras with an identity. The central fact for a real Banach algebra A is that if the positive cone is defined to be the uniform closure o...

Some properties of b-weakly compact operators on Banach lattices

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 ...

Dependent Lattice Random Elements

In this study, we first introduce the Banach lattice random elements and some of their properties. Then, using the order defined in Banach lattice space, we introduce and characterize the order negatively dependence Banach lattice random elements by the order defined in Banach lattice space. Finally, we obtain some limit theorems for the sequence of order negatively dependence Banach lattice ra...

On the existence of solutions to generalized vector variational-like inequalities in Banach spaces1

In this paper, we introduce and study a class of generalized (weak) vector variational-like inequalities and show the existence of solutions to them by Brouwer’s fixed point theorem and Fan’s lemma.