Sums of characteristic values of compact polynomial operator pencils

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Abstract

We consider polynomial pencils whose coefficients are compact operators. Bounds for the sums of absolute values, real and imaginary parts of characteristic values are derived. Applications to differential and difference equations are discussed.

Original languageEnglish
Pages (from-to)1469-1476
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume338
Issue number2
DOIs
StatePublished - 15 Feb 2008

Keywords

  • Difference and differential equations
  • Polynomial operator pencils
  • Spectrum

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