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

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

2010-09-09

arxiv.org/abs/1009.1762v1

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1016/j.jfa.2010.11.009

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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