English

On explicit constructions of auerbach bases in separable Banach spaces

Functional Analysis 2013-08-22 v1

Abstract

This paper considers explicit constructions of Auerbach bases in separable Banach spaces. Answering the question of A. Pe{\l}czy{\'n}ski, we prove by construction the existence of Auerbach basis in arbitrary subspace of c0c_0 of finite codimension and in the space C(K)C(K) for KK compact countable metric space.

Keywords

Cite

@article{arxiv.1308.4429,
  title  = {On explicit constructions of auerbach bases in separable Banach spaces},
  author = {Robert Bogucki},
  journal= {arXiv preprint arXiv:1308.4429},
  year   = {2013}
}
R2 v1 2026-06-22T01:12:24.800Z