English

On octahedraliy and M\"untz spaces

Functional Analysis 2018-11-07 v1

Abstract

We show that every M\"untz space can be written as a direct sum of Banach spaces X and Y , where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this to show that no M\"untz space is locally octahedral or almost square.

Keywords

Cite

@article{arxiv.1811.02011,
  title  = {On octahedraliy and M\"untz spaces},
  author = {André Martiny},
  journal= {arXiv preprint arXiv:1811.02011},
  year   = {2018}
}

Comments

6 pages

R2 v1 2026-06-23T05:05:10.767Z