On absolutely representing families of subspaces in Banach spaces

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 subspa...

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Bibliographic Details
Published in:arXiv.org 2012-06
Main Author: Feshchenko, Ivan S
Format: Article
Language:English
Subjects:
Banach spaces
Error analysis
Subspaces
Online Access:Get full text
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Summary: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.
ISSN:2331-8422