The integral operator with logarithmic kernel has only one positive eigenvalue

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1 Citation (Scopus)

Abstract

The aim of this short note is to show that the integral operator with the kernel log(x + y) being indefinite has only one positive eigenvalue.

Original languageEnglish
Pages (from-to)1560-1564
Number of pages5
JournalLinear Algebra and Its Applications
Volume428
Issue number7
DOIs
Publication statusPublished - 1 Apr 2008
Externally publishedYes

Keywords

  • Integral operators
  • Logarithmic kernel
  • Positive definiteness

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