A characterization of weakly sequentially complete Banach lattices
The equivalence of the two following properties is proved for every Banach lattice :1) is weakly sequentially complete.2) Every -Borel measurable linear functional on is -continuous.
A complement of positive weak almost Dunford-Pettis operators on Banach lattices
In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach lattices.
A Continuity Theorem for Order Bounded Linear Functionals.
A Corson compact L-space from a Suslin tree
The completion of a Suslin tree is shown to be a consistent example of a Corson compact L-space when endowed with the coarse wedge topology. The example has the further properties of being zero-dimensional and monotonically normal.
A density theorem for locally convex lattices.
A Ford-Fulkerson type theorem concerning vector-valued flows in infinite networks
A framework to combine vector-valued metrics into a scalar-metric: Application to data comparison
Distance metrics are at the core of many processing and machine learning algorithms. In many contexts, it is useful to compute the distance between data using multiple criteria. This naturally leads to consider vector-valued metrics, in which the distance is no longer a real positive number but a vector. In this paper, we propose a principled way to combine several metrics into either a scalar-valued or vector-valued metric. We illustrate our framework by reformulating the popular structural similarity...
A generalisation of a theorem of Koldunov with an elementary proof
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A Lagrange multiplier theorem and a sandwich theorem for convex relations.
A new concept of separation
A New Proof of Nakano's Theorem in Locally Solid Riesz Spaces.
A note on direct sum of ordered topological vector spaces
A Note on Extreme Positive Definite Matrices.
A note on L-Dunford-Pettis sets in a topological dual Banach space
The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
A Note on the Approximation of Elements in the Riesz Tensor Product.
A Note on the Hyperstonian ßX.
A quick and simple proof of Sherman's theorem on order in -algebras.
A short proof on lifting of projection properties in Riesz spaces
Let be an Archimedean Riesz space with a weak order unit . A sufficient condition under which Dedekind [-]completeness of the principal ideal can be lifted to is given (Lemma). This yields a concise proof of two theorems of Luxemburg and Zaanen concerning projection properties of -spaces. Similar results are obtained for the Riesz spaces , , of all functions of the th Baire class on a metric space .
A simplified proof of the Daniell integral extension theorem in ordered spaces
A spectral theory for order unit spaces