Invertibility and spectrum of Hille-Tamarkin matrices

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Abstract

Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.

Original languageEnglish
Pages (from-to)78-88
Number of pages11
JournalMathematische Nachrichten
Volume244
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Infinite matrices
  • Invertibility
  • Spectrum localization

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