An isometrically universal Banach space with a monotone Schauder basis

Joanna Garbulińska-Wȩgrzyn

An isometrically universal Banach space with a monotone Schauder basis

Functional Analysis 2026-04-14 v3

Authors: Joanna Garbulińska-Wȩgrzyn

Abstract

We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pe{\l}czy\'nski's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property.

Keywords

isometrically universal Banach space monotone Schauder basis complementably universal Pełczyński space Kadec space bounded approximation property

Cite

@article{arxiv.1402.2660,
  title  = {An isometrically universal Banach space with a monotone Schauder basis},
  author = {Joanna Garbulińska-Wȩgrzyn},
  journal= {arXiv preprint arXiv:1402.2660},
  year   = {2026}
}

Comments

This paper contains an error in the proof

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