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Ando-Choi-Effros liftings for regular maps between Banach lattices

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Javier Alejandro Chávez-Domínguez

Functional Analysis · Submitted 6 Mar 2019

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

The authors' main claim We prove two versions of said theorem for regular maps between Banach lattices.

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arXiv ID1903.02619 (version 1)
Pith IDV2OATWAM, Pith's permanent record of this paper and its review
CitationJavier Alejandro Ch\'avez-Dom\'inguez. "Ando-Choi-Effros liftings for regular maps between Banach lattices." arXiv:1903.02619 (2019). https://pith.science/paper/V2OATWAM
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,852 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.73 · mentions code or data availability 0.02.

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

The Ando-Choi-Effros lifting theorem provides conditions under which a bounded linear mapping taking values in a quotient space can be lifted through the quotient map. We prove two versions of said theorem for regular maps between Banach lattices. Our conditions mirror the classical ones, but additionally taking into account the order structure.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 The Ando-Choi-Effros lifting theorem provides conditions under which a bounded linear mapping taking values in a quotient space can be lifted through the quotient map. background 1.00 0.04 0.05 asserted 1.00
s1 We prove two versions of said theorem for regular maps between Banach lattices. contribution 0.95 0.96 0.74 asserted 1.00
s2 Our conditions mirror the classical ones, but additionally taking into account the order structure. contribution 0.80 0.77 0.20 asserted 1.00

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 Ando-Choi-Effros lifting theorem provides conditions under which a bounded linear mapping taking values in a quotient space can be lifted through the quotient map. We prove two versions of said theorem for regular maps between Banach lattices. Our conditions mirror the classical ones, but additionally taking into account the order structure.

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