3 citations · 10 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
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…