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arXiv · 1706.01877

On the continuity and differentiability of the (dual) core inverse in C*-algebras

Julio Benítez·Enrico Boasso·Sanzhang Xu
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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.

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Julio Benítez, Enrico Boasso, Sanzhang Xu. 2017-06-06. On the continuity and differentiability of the (dual) core inverse in C*-algebras. https://arxiv.org/abs/1706.01877

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