7 papers
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…