Results 11 to 20 of about 54,384 (109)

Chain conditions in free Banach lattices [PDF]

Journal of Mathematical Analysis and Applications, 2018
We show that for an arbitrary Banach space E , the free Banach lattice F B L [ E ] generated by E satisfies the σ -bounded chain condition.
A. Avil'es, G. Plebanek, Jos'e David Rodr'iguez Abell'an   +2 more
semanticscholar   +4 more sources

Geometry of unit balls of free Banach lattices, and its applications

Journal of Functional Analysis, 2023
We begin by describing the unit ball of the free $p$-convex Banach lattice over a Banach space $E$ (denoted by ${\mathrm{FBL}}^{(p)}[E]$) as a closed solid convex hull of an appropriate set.
T. Oikhberg
semanticscholar   +3 more sources

Banach lattices with upper p-estimates: free and injective objects [PDF]

Mathematische Annalen
We study the free Banach lattice FBL(p,∞)[E]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}
E. GARC´IA-S´ANCHEZ, GARC´IA-S´ANCHEZ, D. H. Leung, And M. A. TAYLOR, P. Tradacete   +4 more
semanticscholar   +4 more sources

Free Banach lattices

Journal of the European Mathematical Society
We investigate the structure of the free p -convex Banach lattice {\mathrm{FBL}}^{(p)}[E] over a Banach space E . After recalling why such a free lattice exists, and giving a convenient functional representation of it, we focus our
T. Oikhberg, Mitchell A. Taylor, P. Tradacete, V. G. Troitsky   +3 more
semanticscholar   +3 more sources

The free Banach lattices generated by $$\ell _p$$ℓp and $$c_0$$c0

Revista Matemática Complutense, 2018
We prove that, when ...
A. Avilés, P. Tradacete, I. Villanueva
semanticscholar   +4 more sources

Octahedral norms in free Banach lattices [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
In this paper, we study octahedral norms in free Banach lattices $FBL[E]$ generated by a Banach space $E$. We prove that if $E$ is an $L_1( )$-space, a predual of von Neumann algebra, a predual of a JBW$^*$-triple, the dual of an $M$-embedded Banach space, the disc algebra or the projective tensor product under some hypothesis, then the norm of $FBL[E]
Sheldon Dantas, Gonzalo Martínez-Cervantes, José David Rodríguez Abellán, Abraham Rueda Zoca   +3 more
openaire   +2 more sources

On the Banach lattice $$c_0$$ c 0 [PDF]

Revista Matemática Complutense, 2019
We show that $$c_0$$ c 0 is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. .On the other hand, we show that $$c_0$$ c 0 is complemented in the free Banach lattice generated by itself (seen as a Banach space). As a
A. Avilés, G. Martínez-Cervantes, J. R. Rodríguez Abellán   +2 more
semanticscholar   +1 more source

Free Vector Lattices and Free Vector Lattice Algebras [PDF]

Trends in Mathematics, 2020
We show how the existence of various free vector lattices and free vector lattice algebras can be derived from a theorem on equational classes in universal algebra.
M. Jeu
semanticscholar   +1 more source

Amalgamation and Injectivity in Banach Lattices [PDF]

International mathematics research notices, 2020
We study distinguished objects in the category $\mathcal{B}\mathcal{L}$ of Banach lattices and lattice homomorphisms. The free Banach lattice construction introduced by de Pagter and Wickstead [ 8] generates push-outs, and combining this with an old ...
A. Avil'es, P. Tradacete
semanticscholar   +1 more source

Norm-attaining lattice homomorphisms [PDF]

Revista matemática iberoamericana, 2020
In this paper we study the structure of the set $\mbox{Hom}(X,\mathbb{R})$ of all lattice homomorphisms from a Banach lattice $X$ into $\mathbb{R}$. Using the relation among lattice homomorphisms and disjoint families, we prove that the topological dual ...
Sheldon Dantas, G. Mart'inez-Cervantes, Jos'e David Rodr'iguez Abell'an, Abraham Rueda Zoca   +3 more
semanticscholar   +1 more source