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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…
Uniform homeomorphisms between spheres of unitarily invariant ideals
Javier Alejandro Chávez-Domínguez
The classical Mazur map is a uniform homeomorphism between the unit spheres of spaces, and the version for noncommutative spaces has the same property. Odell and Schlum…