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On the support of the product of resolutions of identity - MaRDI portal

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On the support of the product of resolutions of identity (Q2754856)

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scientific article; zbMATH DE number 1668473
Language Label Description Also known as
English
On the support of the product of resolutions of identity
scientific article; zbMATH DE number 1668473

    Statements

    author
    Artyom Pulemyotov
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    publication date
    4 November 2001
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    zbMATH Keywords
    commuting normal operators
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    joint resolution of identity
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    uncountable family
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    properness of the support
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    title
    On the support of the product of resolutions of identity (English)
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    review text
    It is known that the support of the joint resolution of identity of an uncountable family of commuting normal operators can be empty. The author gives a general construction which covers the known examples and allows to produce new ones. In the second part of the paper the properness of the support is proved for some families of operators which depend continuously on an indexing parameter.
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    Identifiers

    zbMATH DE Number
    1668473
    0 references
     
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