5 papers · 1 filter
rder-norm continuous operators and rder weakly compact operators
Sajjad Ghanizadeh Zare, Kazem Haghnejad Azar, Mina Matin +1
Let be a sublattice of a vector lattice . A continuous operator from the vector lattice into a normed vector space is said to be rder-norm continuous…
Almost order-weakly compact operators on Banach lattices
Mina Matin, Kazem Haghnejad Azar, Ali Ebadi
A continuous operator between two Banach lattices and is called almost order-weakly compact, whenever for each almost order bounded subset of , is a relat…
Weak Unbounded Norm Topology and Dounford-Pettis Operators
Mina Matin, Kazem Haghnejad Azar, Razi Alavizadeh
In this paper, we study -dual (in symbol, $\ud{E}$) of Banach lattice and compare it with topological dual . If has order continuous norm, then $E^* = \ud{E}$. W…
Semi-order continuous operators on vector spaces
Kazem Haghnejad Azar, Mina Matin, Razi Alavizadeh
In this manuscript, we will study both -convergence in (partially) ordered vector spaces and a kind of convergence in a vector space . A vector space is called se…
Unbounded -order-to-norm continuous and -continuous operators
Mina Matin, Kazem Haghnejad Azar, Razi Alavizadeh
An operator from a vector lattice into a normed lattice is called unbounded -order-to-norm continuous whenever implies $\| Tx_{n}\|\rightar…