Effective Construction of a Positive Operator which does not admit Triangular Factorization
Classical Analysis and ODEs
2015-09-07 v3 Functional Analysis
Abstract
We have constructed a concrete example of a non-factorable positive operator. As a result, for the well-known problems (Ringrose, Kadison and Singer problems) we replace existence theorems by concrete examples.
Cite
@article{arxiv.0807.0318,
title = {Effective Construction of a Positive Operator which does not admit Triangular Factorization},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:0807.0318},
year = {2015}
}
Comments
The author's name and surname appear in this replacement in the correct order. A corrected and improved version