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Seminormal composition operators on \(L^2\) spaces induced by matrices: the Laplace density case - MaRDI portal

Seminormal composition operators on \(L^2\) spaces induced by matrices: the Laplace density case (Q616685)

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scientific article; zbMATH DE number 5835274
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Seminormal composition operators on \(L^2\) spaces induced by matrices: the Laplace density case
scientific article; zbMATH DE number 5835274

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    Seminormal composition operators on \(L^2\) spaces induced by matrices: the Laplace density case (English)
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    12 January 2011
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    The content of this paper is best described by its abstract: ``Bounded composition operators with matrix symbols on \(L^2(\mu )\), where \(\mu \) is a positive Borel measure with a Laplace type density function on the \(d\)-dimensional Euclidean space, are studied. Hyponormality and subnormality of adjoints of such operators are characterized explicitly in terms of their symbols.''
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    composition operator on \(L^{2}\) space
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    subnormal operator
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    hyponormal operator
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