5 papers · 1 filter
Composition operators for holomorphic Lipschitz functions
Verónica Dimant, Luis C. GarcÃa-Lirola, Juan Guerrero-Viu +1
We study composition operators on spaces of holomorphic Lipschitz functions defined on the open unit ball of a complex Banach space. Our approach is based on the linearization of t…
The -Operator Approximation Property
Javier Alejandro Chávez-DomÃnguez, 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…
Revisiting Operator -Compact Mappings
Javier Alejandro Chávez-DomÃnguez, 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…
Fibers and Gleason parts for the maximal ideal space of
Verónica Dimant, Silvia Lassalle, Manuel Maestre
In the early nineties, R. M. Aron, B. Cole, T. Gamelin and W.B. Johnson initiated the study of the maximal ideal space (spectrum) of Banach algebras of holomorphic functions define…
Linearizing holomorphic functions on operator spaces
Javier Alejandro Chávez-DomÃnguez, 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…