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arXiv · 1009.1762

Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization

Lev Sakhnovich
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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.

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Lev Sakhnovich. 2010-09-09. Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization. https://doi.org/10.1016/j.jfa.2010.11.009

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