Results 81 to 90 of about 18,372 (189)

The domination theorem for operator classes generated by Orlicz spaces

Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.
Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez, M. Mastyło, J. Santos, E. B. Silva   +3 more
wiley   +1 more source

Injective Banach lattices

Mathematische Zeitschrift, 1977
A Banach lattice E (over the field of reals) is said to be injective if, for every Banach lattice G, every closed linear sublattice F of G and every positive linear operator u: F--*E, there is a positive linear extension v: G . E with IIv[I = Ilull.
openaire   +1 more source

Property (T) for groups acting on affine buildings

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.
Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley   +1 more source

Equilibria in reflexive Banach lattices with a continuum of agents. [PDF]

We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras ...
Araujo, Aloisio, Martins-da-Rocha, Victor-Filipe, Monteiro, Paulo K.   +2 more
core  

The class of Banach lattices is not primary

Forum of Mathematics, Sigma
Building on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
doaj   +1 more source

Pareto optimality for nonlinear infinite dimensional control systems

International Journal of Mathematics and Mathematical Sciences, 1990
In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice.
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou   +1 more
doaj   +1 more source

Banach Lattices

, 2023
The main goal of this thesis is to find conditions, under which, Banach Lattices are isomorphic either to C(K), where K is compact, or to L1(μ), with respect to the measure μ. In Chapter 1, we give some basic notations and definitions for vector lattices.
openaire   +1 more source

Characterization of Best Approximation Points with Lattice Homomorphisms

Journal of Mathematical Extension, 2014
In this paper we prove some characterization theorems in the theory of best approximation in Banach lattices. We use a new idea for finding the best approximation points in an ideal.
H. R. Khademzadeh, H. Mazaheri
doaj  

Finite Dimensional Chebyshev Subspaces of Lo

Sultan Qaboos University Journal for Science, 2017
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX there is a point y0ÎA such that the distance between x and A; d(x, A) = inf{||x-y||: yÎA}= ||x­-y0||.
Aref K. Kamal
doaj   +1 more source

Interpolation of Banach lattices [PDF]

Studia Mathematica, 1985
For each couple \(\bar X=(X_ 0,X_ 1)\) of Banach lattices and each non- negative concave function \(\phi\) let \(\) and \(\phi(\bar X)\) denote the \(\pm\) interpolation spaces of Gustavsson-Peetre respectively the Calderón-Lozanovskij construction. In this note we show that these spaces essentially coincide.
openaire   +2 more sources