Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
Classical Analysis and ODEs
2012-11-29 v1 Functional Analysis
Abstract
A class of non-factorable positive operators is constructed. As a result, pure existence theorems in the well-known problems by Ringrose, Kadison and Singer are substituted by concrete examples.
Keywords
Cite
@article{arxiv.1009.1762,
title = {Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:1009.1762},
year = {2012}
}