Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators

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2 Scopus citations

Abstract

A compact operator in a separable Hilbert space is of infinite order if it does not belong to any Schatten-von Neumann ideal. In the paper, upper and lower bounds for the regularized determinants of infinite order operators are derived. By these bounds, perturbations results for the regularized determinants are established.

Original languageEnglish
Pages (from-to)443-451
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume349
Issue number2
DOIs
StatePublished - 15 Jan 2009

Keywords

  • Compact linear operators
  • Infinite order
  • Perturbations
  • Regularized determinant

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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