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Operators commuting with the shift on sequence spaces - MaRDI portal

Operators commuting with the shift on sequence spaces (Q1777690)

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scientific article; zbMATH DE number 2171590
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English
Operators commuting with the shift on sequence spaces
scientific article; zbMATH DE number 2171590

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    Operators commuting with the shift on sequence spaces (English)
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    25 May 2005
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    The author considers shift invariant operators on infinite power series sequence spaces. He gives necessary and sufficient conditions for a continuous linear operator on such spaces to commute with the shift operator. He also gives a sufficient condition for an operator commuting with a shift invariant operator to be shift invariant.
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    shift invariant operators
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    sequence spaces of infinite power series
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