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
Multiplicative representation of bilinear operators.
M-weak and L-weak compactness of b-weakly compact operators
We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).