Framings and dilations
Functional Analysis
2013-07-24 v1
Abstract
The notion of framings, recently emerging in P. G. Casazza, D. Han, and D. R. Larson, Frames for Banach spaces, in {\em The functional and harmonic analysis of wavelets and frames} (San Antonio, TX, 1999), {\em Contemp. Math}. {\bf 247} (1999), 149-182 as generalization of the reconstraction formula generated by pairs of dual frames, is in this note extended substantially. This calls on refining the basic dilation results which still being in the flavor of {\em th\'eor\`eme principal} of B. Sz-Nagy go much beyond it.
Cite
@article{arxiv.1307.6151,
title = {Framings and dilations},
author = {David R. Larson and Franciszek Hugon Szafraniec},
journal= {arXiv preprint arXiv:1307.6151},
year = {2013}
}
Comments
The final version will appear in Acta Sci. Math (Szeged)