3 citations · 10 across the 9 of their papers we have counts for
12 papers
Lipschitz geometry of operator spaces and Lipschitz-free operator spaces
Bruno de Mendonça Braga, Javier Alejandro Chávez-Domínguez, Thomas Sinclair
We show that there is an operator space notion of Lipschitz embeddability between operator spaces which is strictly weaker than its linear counterpart but which is still strong eno…
Positively -nuclear operators, positively -integral operators and approximation properties
Dongyang Chen, Amar Belacel, Javier Alejandro Chávez-Domínguez
In the present paper, we introduce and investigate a new class of positively -nuclear operators that are positive analogues of right -nuclear operators. One of our main resul…
Asymptotic dimension and coarse embeddings in the quantum setting
Javier Alejandro Chávez-Domínguez, Andrew T. Swift
We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymp…
Completely coarse maps are -linear
Bruno M. Braga, Javier Alejandro Chávez-Domínguez
A map between operator spaces is called completely coarse if the sequence of its amplifications is equi-coarse. We prove that all completely coarse maps must be -linear.…
Isoperimetric and Sobolev inequalities for magnetic graphs
Javier Alejandro Chávez-Domínguez
We introduce a concept of isoperimetric dimension for magnetic graphs, that is, graphs where every edge is assigned a complex number of modulus one. In analogy with the classical c…
Ando-Choi-Effros liftings for regular maps between Banach lattices
Javier Alejandro Chávez-Domínguez
The Ando-Choi-Effros lifting theorem provides conditions under which a bounded linear mapping taking values in a quotient space can be lifted through the quotient map. We prove two…
Operator -compact mappings
Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer
We introduce the class of operator -compact mappings and completely right -nuclear operators, which are natural extensions to the operator space framework of their correspond…
Frame potential for finite-dimensional Banach spaces
J. A. Chávez-Domínguez, D. Freeman, K. Kornelson
We define the frame potential for a Schauder frame on a finite dimensional Banach space as the square of the -summing norm of the frame operator. As is the case for frames for H…
An Ando-Choi-Effros lifting theorem respecting subspaces
Javier Alejandro Chávez-Domínguez
We prove a version of the Ando-Choi-Effros lifting theorem respecting subspaces, which in turn relies on Oja's principle of local reflexivity respecting subspaces. To achieve this,…
Duality for ideals of Lipschitz maps
M. G. Cabrera-Padilla, J. A. Chávez-Domínguez, A. Jiménez-Vargas +1
We develop a systematic approach to the study of duality for ideals of Lipschitz maps from a metric space to a Banach space, inspired by the classical theory that relates ideals of…
Lipschitz tensor product
M. G. Cabrera-Padilla, J. A. Chávez-Domínguez, A. Jiménez-Vargas +1
Inspired by ideas of R. Schatten in his celebrated monograph on a theory of cross-spaces, we introduce the notion of a Lipschitz tensor product X\boxtimes E of a pointed metric spa…
Lipschitz -convex and -concave maps
Javier Alejandro Chávez-Domínguez
The notions of -convexity and -concavity are mostly known because of their importance as a tool in the study of isomorphic properties of Banach lattices, but they also play a…