English

Products and Factors of Banach function spaces

Functional Analysis 2008-04-01 v1

Abstract

Given two Banach function spaces we study the pointwise product space E.F, especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E . M(E, F)=F, where M(E,F) denotes the space of multiplication operators from E into F.

Keywords

Cite

@article{arxiv.0803.4336,
  title  = {Products and Factors of Banach function spaces},
  author = {Anton R. Schep},
  journal= {arXiv preprint arXiv:0803.4336},
  year   = {2008}
}

Comments

16 pages

R2 v1 2026-06-21T10:25:51.338Z