Lebesgue decomposition for representable functionals on $^*$-algebras
Functional Analysis
2014-06-25 v1
Abstract
We present a Lebesgue-type decomposition for a representable functional on a -algebra into absolutely continuous and singular parts with respect to an other. This generalizes the corresponding results of S. P. Gudder for unital Banach -algebras. We also prove that the corresponding absolutely continuous parts are absolutely continuous with respect to each other.
Keywords
Cite
@article{arxiv.1406.6156,
title = {Lebesgue decomposition for representable functionals on $^*$-algebras},
author = {Zsigmond Tarcsay},
journal= {arXiv preprint arXiv:1406.6156},
year = {2014}
}