A categorical approach to injective envelopes
Operator Algebras
2024-04-29 v1
Abstract
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.
Cite
@article{arxiv.2305.17293,
title = {A categorical approach to injective envelopes},
author = {Arianna Cecco},
journal= {arXiv preprint arXiv:2305.17293},
year = {2024}
}
Comments
With an appendix by David P. Blecher