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Inversion Formulas via Generalized Determinants

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

Abstract

In this chapter we obtain Cramer’s rule and the formulas for the resolvent which are expressed via the extended traces tr(A k ) of iterations and regularized determinants. This chapter may be viewed as a generalization of the results in Chapter VIII. In the main formulas in that chapter the determinants are replaced here by the corresponding regularized determinant.

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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

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