5 papers
Phase Retrievability of Super Operators and Measurements
Javier Alejandro Chávez-Domínguez, Jeremiah Isu
We continue the study of Phase Retrieval in the Quantum Information setting in the style of \cite{liu2023phase}, in a manner which is more general in two primary ways: (a) Instead…
The -Operator Approximation Property
Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer
We study a notion analogous to the -Approximation Property (-AP) for Banach spaces, within the noncommutative context of operator spaces. Referred to as the -Operator Appr…
Linearizing holomorphic functions on operator spaces
Javier Alejandro Chávez-Domínguez, Verónica Dimant
We introduce a notion of completely bounded holomorphic functions defined on the open unit ball of an operator space. We endow the set of these functions with an operator space str…
Revisiting Operator -Compact Mappings
Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer
We continue our study of the mapping ideal of operator -compact maps, previously introduced by the authors. Our approach embraces a more geometric perspective, delving into the…
On the small scale nonlinear theory of operator spaces
Bruno de Mendonça Braga, Javier Alejandro Chávez-Domínguez
We initiate the study of the small scale geometry of operator spaces. The authors have previously shown that a map between operator spaces which is completely coarse (that is, the…