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

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Julio Benítez, Enrico Boasso, Sanzhang Xu

Operator Algebras · Submitted 6 Jun 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The continuity of the core inverse and the dual core inverse is studied in the setting of C*-algebras.

how it is stated · asserted 0.95 read the record →

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arXiv ID1706.01877 (version 1)
Pith ID24C3VUFO, Pith's permanent record of this paper and its review
CitationEnrico Boasso, Julio Ben\'itez, Sanzhang Xu. "On the continuity and differentiability of the (dual) core inverse in C*-algebras." arXiv:1706.01877 (2017). https://pith.science/paper/24C3VUFO
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,875 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The continuity of the core inverse and the dual core inverse is studied in the setting of C*-algebras. contribution 0.99 0.82 0.13 asserted 0.95
s1 Later, this study is specialized to the case of bounded Hilbert space operators and to complex matrices. contribution 0.79 0.78 0.05 asserted 0.98
s2 In addition, the differentiability of these generalized inverses is studied in the context of C*-algebras. contribution 1.00 0.86 0.11 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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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