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Factorizations along commutative subspace lattices - MaRDI portal

Factorizations along commutative subspace lattices (Q1089600)

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scientific article; zbMATH DE number 4004977
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English
Factorizations along commutative subspace lattices
scientific article; zbMATH DE number 4004977

    Statements

    Factorizations along commutative subspace lattices (English)
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    1987
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    A characterization is given for the positive definite operators which permit factorization along a specified complete, countable nest of subspaces of a Hilbert space. Applications to inner-outer factorization theory and factorization which respect to uncountable commutative subspace lattices are described.
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    invariant subspace
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    positive definite operators
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    factorization along a specified complete, countable nest of subspaces of a Hilbert space
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    inner-outer factorization theory
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    uncountable commutative subspace lattices
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