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

Functional Analysis 2019-03-08 v1

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.

Keywords

Cite

@article{arxiv.1903.02619,
  title  = {Ando-Choi-Effros liftings for regular maps between Banach lattices},
  author = {Javier Alejandro Chávez-Domínguez},
  journal= {arXiv preprint arXiv:1903.02619},
  year   = {2019}
}

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18 pages