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).
n-Convex Functions in Linear Spaces.
Non-archimedean Eberlein-Šmulian theory.
Nonlinear Eigenvalue Problems with Monotonically Compact Operators. (Short Communication).
Nonlinear eigenvalue problems with monotonically compact operators.
Nonlinear variational inequalities and the existence of equilibrium in economies with a Riesz space of commodities
Non-self-adjoint operator algebras and inverse systems of simplicial complexes.
Nonstandard Integration Theory in Topological Vector Lattices.
ntegral Representations by Non-Finite Radon Measures and Measures of Finite Variation.
On a lattice characterization of Hilbert spaces
On a property of Riesz spaces
On a question of Fremlin concerning order bounded and regular operators
On a weak Freudenthal spectral theorem
Let be an Archimedean Riesz space and its Boolean algebra of all band projections, and put and , . is said to have Weak Freudenthal Property () provided that for every the lattice is order dense in the principal band . This notion is compared with strong and weak forms of Freudenthal spectral theorem in Archimedean Riesz spaces, studied by Veksler and Lavrič, respectively. is equivalent to -denseness of in for every , and every Riesz space with sufficiently many projections...
On algebra homomorphisms in complex almost -algebras
Extensions of order bounded linear operators on an Archimedean vector lattice to its relatively uniform completion are considered and are applied to show that the multiplication in an Archimedean lattice ordered algebra can be extended, in a unique way, to its relatively uniform completion. This is applied to show, among other things, that any order bounded algebra homomorphism on a complex Archimedean almost -algebra is a lattice homomorphism.
On an extension of finite functionals by the transfinite induction
On Banach ideals determined by Banach lattices and their applications [Book]
On boundedly order-complete locally solid Riesz spaces