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.
Displaying 141 – 160 of 422
M-structure and the Banach-Stone theorem
Ehrhard Behrends, Ursula Schmidt-Bichler (1981)
Studia Mathematica
Multiplicative representation of bilinear operators.
Kusraev, A.G., Tabuev, S.N. (2008)
Sibirskij Matematicheskij Zhurnal
M-weak and L-weak compactness of b-weakly compact operators
J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)
Commentationes Mathematicae Universitatis Carolinae
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.
Roman Ger (1974)
Aequationes mathematicae
Non-archimedean Eberlein-Šmulian theory.
Kiyosawa, T., Schikhof, W.H. (1996)
International Journal of Mathematics and Mathematical Sciences
Nonlinear Eigenvalue Problems with Monotonically Compact Operators. (Short Communication).
Theodore Laetsch (1975)
Aequationes mathematicae
Nonlinear eigenvalue problems with monotonically compact operators.
Theodore Laetsch (1975)
Aequationes mathematicae
Nonlinear variational inequalities and the existence of equilibrium in economies with a Riesz space of commodities
Enayet U, Tarafdar, Ghanshyam B. Mehta (1986)
Commentationes Mathematicae Universitatis Carolinae
Non-self-adjoint operator algebras and inverse systems of simplicial complexes.
S.C. Power (1991)
Journal für die reine und angewandte Mathematik
Nonstandard Integration Theory in Topological Vector Lattices.
Peter A. Loeb, Horst Osswald (1997)
Monatshefte für Mathematik
ntegral Representations by Non-Finite Radon Measures and Measures of Finite Variation.
Klaus Donner (1976)
Mathematische Annalen
On a lattice characterization of Hilbert spaces
M. J. Mączyński (1974)
Colloquium Mathematicae
On a property of Riesz spaces
Rastislav Potocký (1982)
Mathematica Slovaca
On a question of Fremlin concerning order bounded and regular operators
Ju. A. Abramovič, V. A. Gejler (1982)
Colloquium Mathematicae
On a weak Freudenthal spectral theorem
Marek Wójtowicz (1992)
Commentationes Mathematicae Universitatis Carolinae
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
Abdelmajid Triki (2002)
Commentationes Mathematicae Universitatis Carolinae
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
Michal Šabo (1976)
Mathematica Slovaca
On Banach ideals determined by Banach lattices and their applications [Book]
N. J. Nielsen (1973)
On boundedly order-complete locally solid Riesz spaces
Iwo Labuda (1985)
Studia Mathematica