arXiv subjects

Arianna Cecco

Publications and source records attributed to Arianna Cecco.

2 recordsLinked to original sources

arXiv2023

A categorical approach to injective envelopes

We explore functors between operator space categories, some properties of these functors, and establish relations between objects in these categories and their images under these functors, in particular regarding injectivity and injective envelopes. We also compare the purely categorical definition of injectivity with the `standard' operator theoretical definition. An appendix by D. P. Blecher discusses the unitization of an operator space and its injective envelope.

math.OA↗

arXiv2023

Real structure in operator spaces, injective envelopes and $G$-spaces

We present some more foundations for a theory of real structure in operator spaces and algebras, in particular concerning the real case of the theory of injectivity, and the injective, ternary, and $C^*$-envelope. We consider the interaction between these topics and the complexification. We also generalize many of these results to the setting of operator spaces and systems acted upon by a group.

math.OA↗