Advertisement

Regularized Determinants

  • Israel Gohberg
  • Seymour Goldberg
  • Nahum Krupnik
Chapter
Part of the Operator Theory Advances and Applications book series (OT, volume 116)

Abstract

A general theory of regularized determinants in normed algebras of operators acting in Banach spaces is proposed. In this approach regularized determinants are defined as continuous extensions of the corresponding regularized determinants of operators of finite rank. We characterize the algebras for which such extensions exist and describe the properties of the extended determinants.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel AG 2000

Authors and Affiliations

  • Israel Gohberg
    • 1
  • Seymour Goldberg
    • 2
  • Nahum Krupnik
    • 3
  1. 1.School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityIL - Ramat AvivIsrael
  2. 2.Silver SpringUSA
  3. 3.Dept. of Mathematics and Computer ScienceBar Ilan UniversityIL - Ramat GanIsrael

Personalised recommendations