Bounds for Determinants of Linear Operators and their Applications

Before his retirement in 2009, Michael I. Gil′ was a professor at the Ben Gurion University of the Negev, Beer Sheva, Israel. He has authored more than 250 articles in scientific journals and 9 books.

Preliminaries. Determinants of Schatten-Von Neumann Operators. Determinants of Nakano Type Operators. Determinants of Orlicz Type Operators. Determinants of p-summing Operators. Multiplicative Representations of Resolvents. Inequalities Between Determinants and Resolvents. Bounds for Eigenvalues and Determinants Via Self-commutators.Discrete Spectra of Compactly Perturbed Bounded Operators. Operators on Tensor Products of Euclidean Spaces and Matrix Equations. Two-parameter Matrix Eigenvalue Problem. Differential, Difference and Functional-differential equations