On absolutely representing families of subspaces in Banach spaces
Functional Analysis
2012-06-26 v1
Abstract
An absolutely representing family of subspaces is a natural generalization of an absolutely representing system of subspaces and absolutely representing system (of elements). We obtain necessary an (or) sufficient conditions for a family of subspaces to be an absolutely representing family of subspaces and study properties of absolutely representing families of subspaces in Banach spaces. As an example, we study families of subspaces spanned by exponents.
Keywords
Cite
@article{arxiv.1206.5496,
title = {On absolutely representing families of subspaces in Banach spaces},
author = {Ivan S. Feshchenko},
journal= {arXiv preprint arXiv:1206.5496},
year = {2012}
}
Comments
15 pages, submitted to Vladikavkaz Mathematical Journal