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

Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization (Q442200)

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scientific article; zbMATH DE number 6064577
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Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
scientific article; zbMATH DE number 6064577

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    Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization (English)
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    10 August 2012
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    In this interesting paper, the author constructs a class of non-factorable positive operators. As a consequence, pure existence theorems in the well-known problems by Ringrose, Kadison and Singer are substituted by concrete examples.
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    triangular operators
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    nest algebra
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    multiplicity 1
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    hyperintransitive operator
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