Regularity of pairs of positive operators (Q1129751)

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scientific article; zbMATH DE number 1193066
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Regularity of pairs of positive operators
scientific article; zbMATH DE number 1193066

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    Regularity of pairs of positive operators (English)
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    20 August 1998
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    We show that, if 0 is in the resolvent set of one of the operators of a regular pair considered by Grisvard and by Da Prato and Grisvard, the pair is also \(\lambda\)-regular. We exhibit a regular pair of positive operators in a Hilbert space, which is not \(\lambda\)-regular.
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    sum of closed operators
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    vector-valued Cauchy problems
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    resolvent set
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    regular pair
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    \(\lambda\)-regular
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