Bounds for Determinants of Linear Operators and their Applications
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Bounds for Determinants of Linear Operators and their Applications: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Bounds for Determinants of Linear Operators and their Applications: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Bounds for Determinants of Linear Operators and their Applications: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)


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About the Book

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.

Table of Contents:
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

About the Author :
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.

Review :
"[This] book is well written and some long computations are presented in a convincing manner. This book will surely be useful to specialists in operator theory, as well as to those interested in its applications, especially for the treatment of the determinants associated to Nakano and Orlicz type operators, among others. Graduate students may also be interested in some chapters of this work, in particular those containing improvements of certain classical results." - F.-H. Vasilescu, Mathematical Reviews, August 2017 "[This] book is well written and some long computations are presented in a convincing manner. This book will surely be useful to specialists in operator theory, as well as to those interested in its applications, especially for the treatment of the determinants associated to Nakano and Orlicz type operators, among others. Graduate students may also be interested in some chapters of this work, in particular those containing improvements of certain classical results." - F.-H. Vasilescu, Mathematical Reviews, August 2017


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Product Details
  • ISBN-13: 9781498796910
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: Chapman & Hall/CRC
  • Language: English
  • ISBN-10: 1498796915
  • Publisher Date: 03 Mar 2017
  • Binding: Digital (delivered electronically)
  • Series Title: Chapman & Hall/CRC Monographs and Research Notes in Mathematics


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Bounds for Determinants of Linear Operators and their Applications: (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
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