Estimates for functions of two commuting infinite matrices and applications

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2 Scopus citations

Abstract

We consider a matrix valued function of two infinite commuting matrices generating bounded operators in a Banach space. Sharp estimates for the norm and entries are derived. Applications of the obtained estimates to differential equations are also discussed.

Original languageEnglish
Pages (from-to)207-216
Number of pages10
JournalAnnali dell'Universita di Ferrara
Volume56
Issue number1
DOIs
StatePublished - 7 Apr 2010

Keywords

  • Functions of infinite commuting matrices
  • Norm estimates
  • Partial differential equations in a Banach space

ASJC Scopus subject areas

  • Mathematics (all)

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