English

On operators with bounded approximation property

Functional Analysis 2013-12-10 v1

Abstract

It is known that any separable Banach space with BAP is a complemented subspace of a Banach space with a basis. We show that every operator with bounded approximation property, acting from a separable Banach space, can be factored through a Banach space with a basis.

Keywords

Cite

@article{arxiv.1312.2116,
  title  = {On operators with bounded approximation property},
  author = {Oleg Reinov},
  journal= {arXiv preprint arXiv:1312.2116},
  year   = {2013}
}

Comments

5 pages

R2 v1 2026-06-22T02:22:57.125Z