English

The complemented subspace problem for $C(K)$-spaces: A counterexample

Functional Analysis 2023-05-09 v4

Abstract

We prove that there is a compact space LL and a 1-complemented subspace of the Banach space C(L)C(L) which is not isomorphic to a space of continuous functions.

Keywords

Cite

@article{arxiv.2111.13860,
  title  = {The complemented subspace problem for $C(K)$-spaces: A counterexample},
  author = {Grzegorz Plebanek and Alberto Salguero Alarcón},
  journal= {arXiv preprint arXiv:2111.13860},
  year   = {2023}
}

Comments

Final version of May 7, 2023; 19 pages

R2 v1 2026-06-24T07:54:00.759Z