10 citations · 31 across the 27 of their papers we have counts for
34 papers
Upper bound properties of free and related Banach lattices via operators
Anastasiia Ianina, Timur Oikhberg
It is known that the free -convex Banach lattice on a Banach space can be represented as a space of functions on the unit ball of . In this way, it gives rise to certai…
Maximal inequalities, frames and greedy algorithms
Pablo Berná, Daniel Freeman, Timur Oikhberg +1
The aim of this article is to use Banach lattice techniques to study coordinate systems in function spaces. We begin by proving that the greedy algorithm of a basis is order conver…
The lattice Schäffer constant
Michael Alexánder Rincón Villamizar, Timur Oikhberg
For a Banach lattice , its lattice Schäffer constant is defined by: \begin{gather*} λ^+(X)=\inf\{\max\{\|x+y\|,\|x-y\|\}\,\colon\,\|x\|=\|y\|=1,x,y\geq{\bf0}\}. \end{gather*} In…
Lattice renormings of spaces
Timur Oikhberg, Mary Angelica Tursi
Suppose is a locally compact Polish space, and is a group of lattice isometries of which satisfies certain conditions. Then we can equip with an equivalen…
Counterexamples in isometric theory of symmetric and greedy bases
Fernando Albiac, Jose L. Ansorena, Oscar Blasco +2
We continue the study initiated in [F. Albiac and P. Wojtaszczyk, Characterization of -greedy bases, J. Approx. Theory 138 (2006), no. 1, 65-86] of properties related to greedy…
Geometry of unit balls of free Banach lattices, and its applications
Timur Oikhberg
We begin by describing the unit ball of the free -convex Banach lattice over a Banach space (denoted by ) as a closed solid convex hull of an approp…