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Bounds for Determinants of Linear Operators and their Applications

2017 Edition, February 22, 2017

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Active, Most Current

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ISBN: 9781498796910
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Product Details:

  • Revision: 2017 Edition, February 22, 2017
  • Published Date: February 22, 2017
  • Status: Active, Most Current
  • Document Language: English
  • Published By: CRC Press (CRC)
  • Page Count: 237
  • ANSI Approved: No
  • DoD Adopted: No

Description / Abstract:

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.

Authors: Michael Gil'