This is an announcement for the paper "On absolutely representing families of subspaces in Banach spaces" by Ivan S. Feshchenko.

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 and (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.

Archive classification: math.FA

Mathematics Subject Classification: 41A58, 46B99

Remarks: 15 pages, submitted to Vladikavkaz Mathematical Journal

Submitted from: ivanmath007@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1206.5496

or

http://arXiv.org/abs/1206.5496