Cross-frames in Banach spaces
Functional Analysis
2011-11-01 v1
Abstract
This paper generalizes results for alternate dual frames in Hilbert spaces on the situation of a Banach space. Additionally some properties of synthesys operator associated with alternate dual frame are investigated. The main result is that for a given cross-frame in Banach space we can not find such strongly continuous uniformely bounded one-parameter group of operators that the vectors from this cross-frame are eigenvectors of group's operators.
Cite
@article{arxiv.1110.6746,
title = {Cross-frames in Banach spaces},
author = {Sergey Kreys},
journal= {arXiv preprint arXiv:1110.6746},
year = {2011}
}