Kantorovich spaces and optimization.
Korovkinhüllen in Funktionenräumen.
-Struktur in Banachräumen II
L¹ representation of Riesz spaces
Let E be a Riesz space. By defining the spaces and of E, we prove that the center of is and show that the injectivity of the Arens homomorphism m: Z(E)” → Z(E˜) is equivalent to the equality . Finally, we also give some representation of an order continuous Banach lattice E with a weak unit and of the order dual E˜ of E in which are different from the representations appearing in the literature.
Lattice copies of c₀ and in spaces of integrable functions for a vector measure [Book]
Le théorème de Korovkin dans et
Les cônes autopolaires en dimension finie
Les topologies sygma-Lebesgue sur C(X).
We prove that if X is a compact topological space which contains a nontrivial metrizable connected closed subset, then the vector lattice C(X) does not carry any sygma-Lebesgue topology.
Locally solid topologies on vector valued function spaces.
Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.
Mackey Topologies on Riesz Spaces and Weak Compactness.
Measurability of functions with values in partially ordered spaces
Mesures coniques et espaces de Baire
Metrization of uniform lattices
Minimal points in product spaces.
Minimal Reflexive Banach Lattices.
Modular measures and Maharam operators.
Modules ordonnés injectifs
Monotone extenders for bounded c-valued functions
Let c be the Banach space consisting of all convergent sequences of reals with the sup-norm, the set of all bounded continuous functions f: A → c, and the set of all functions f: X → c which are continuous at each point of A ⊂ X. We show that a Tikhonov subspace A of a topological space X is strong Choquet in X if there exists a monotone extender . This shows that the monotone extension property for bounded c-valued functions can fail in GO-spaces, which provides a negative answer to a question...
Monotonicity, order smoothness and duality for convex functionals.
In the paper concepts of pointwise and uniform strict monotonicity and order-smoothness for convex and monotone functionals on locally convex-solid Riesz spaces are studied.
M-structure and the Banach-Stone theorem