On the continuity and differentiability of the (dual) core inverse in C*-algebras
Operator Algebras
2017-06-08 v1 Functional Analysis
Abstract
The continuity of the core inverse and the dual core inverse is studied in the setting of C*-algebras. Later, this study is specialized to the case of bounded Hilbert space operators and to complex matrices. In addition, the differentiability of these generalized inverses is studied in the context of C*-algebras.
Keywords
Cite
@article{arxiv.1706.01877,
title = {On the continuity and differentiability of the (dual) core inverse in C*-algebras},
author = {Julio Benítez and Enrico Boasso and Sanzhang Xu},
journal= {arXiv preprint arXiv:1706.01877},
year = {2017}
}
Comments
24 pages, original research article