Spectrum localization of infinite matrices

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The paper deals with linear operators in a separable Hubert space represented by infinite matrices with compact off diagonal parts. Bounds for the spectrum are established. In particular, new estimates for the spectral radius are proposed. These results are new even in the finite-dimensional case. Also applications to integral, differential and integro-differential operators are discussed.

Original languageEnglish
Pages (from-to)379-394
Number of pages16
JournalMathematical Physics Analysis and Geometry
Issue number4
StatePublished - 1 Jan 2001


  • Differential and integro-differential operators
  • Finite and infinite matrices
  • Integral
  • Spectrum localization

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology


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