Table of Contents:
  • Preliminaries
  • Determinants of Schatten-von Neumann operators
  • Determinants of Nakano operators
  • Determinants of Orlicz type operators
  • Determinants of p-summing operators
  • Multiplicative representations of resolvents
  • Inequalities between determinants and inverse operators
  • Bounds of eigenvalues and determinants via self-commutators
  • Spectral variations of compact operators in a Hilbert space
  • Discrete spectra of compactly perturbed normal operators
  • Perturbations of non-normal noncompact operators
  • Operators on tensor products of Euclidean spaces and matrix equations
  • Two-parameter matrix eigenvalue problems.