A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators
Functional Analysis
2019-03-27 v1
Abstract
This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized frames and the associated Banach spaces in full detail. We investigate the representation of operators using localized frames in a Galerkin-type scheme. We show how the boundedness and the invertibility of matrices and operators are linked and give some sufficient and necessary conditions for the boundedness of operators between the associated Banach spaces.
Keywords
Cite
@article{arxiv.1611.09692,
title = {A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators},
author = {Peter Balazs and Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:1611.09692},
year = {2019}
}
Comments
32 pages