Add to ORKGIt is shown that a normed vector lattice (E; parallel to.parallel to) is order continuous if and only if, for every lattice norm rho on E with rho less than or equal to parallel to.parallel to, the parallel to.parallel to-topology and rho-topology coincide on every order interval of E.published_or_final_versio
Let be a separating family of lattice seminorms on a vector lattice X, then is called a multi-normed...
In this note, we show that the order convergence in a vector lattice is not topological unless . Fur...
summary:For a t-norm T on a bounded lattice $(L, \leq)$, a partial order $\leq_{T}$ was recently def...
\S 1. Let $R $ be a universally continuous semi-ordered linear space1) ( $i.e $. conditionally compl...
ABSTRACT. A lattice K(X,Y) of continuous functlonson space X is associated to each compactlflcatlon ...
ABSTRACT. A lattice K(X,Y) of continuous functlonson space X is associated to each compactlflcatlon ...
Recall that a norm ‖.‖ on a vector lattice E is absolute if ‖∣x∣‖=‖x‖ for all x∉E; and monotone if ‖...
We introduce the property of ≲ -norm-boundedness on totally ordered subsets of Euclidean spaces. We ...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
A net (x(alpha)) in a Banach lattice X is said to un-converge to a vector x if xl A parallel to vert...
We present here some sufficient conditions for the regular norm on to be order continuous, and for ...
This paper studies sequential order convergence and the associated completion in vector lattices of ...
The main aim of this thesis is to generalize unbounded order convergence, unbounded norm convergence...
AbstractA lattice is order-topological iff its order convergence is topological and makes the lattic...
Abstract. We prove that in a certain class E of nonseparable Banach spaces the norm topology of the ...
Let be a separating family of lattice seminorms on a vector lattice X, then is called a multi-normed...
In this note, we show that the order convergence in a vector lattice is not topological unless . Fur...
summary:For a t-norm T on a bounded lattice $(L, \leq)$, a partial order $\leq_{T}$ was recently def...
\S 1. Let $R $ be a universally continuous semi-ordered linear space1) ( $i.e $. conditionally compl...
ABSTRACT. A lattice K(X,Y) of continuous functlonson space X is associated to each compactlflcatlon ...
ABSTRACT. A lattice K(X,Y) of continuous functlonson space X is associated to each compactlflcatlon ...
Recall that a norm ‖.‖ on a vector lattice E is absolute if ‖∣x∣‖=‖x‖ for all x∉E; and monotone if ‖...
We introduce the property of ≲ -norm-boundedness on totally ordered subsets of Euclidean spaces. We ...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
A net (x(alpha)) in a Banach lattice X is said to un-converge to a vector x if xl A parallel to vert...
We present here some sufficient conditions for the regular norm on to be order continuous, and for ...
This paper studies sequential order convergence and the associated completion in vector lattices of ...
The main aim of this thesis is to generalize unbounded order convergence, unbounded norm convergence...
AbstractA lattice is order-topological iff its order convergence is topological and makes the lattic...
Abstract. We prove that in a certain class E of nonseparable Banach spaces the norm topology of the ...
Let be a separating family of lattice seminorms on a vector lattice X, then is called a multi-normed...
In this note, we show that the order convergence in a vector lattice is not topological unless . Fur...
summary:For a t-norm T on a bounded lattice $(L, \leq)$, a partial order $\leq_{T}$ was recently def...