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CRC Press Bounds for Determinants of Linear Operators Book

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Description

Explore advanced mathematical concepts with Bounds for Determinants of Linear Operators and their Applications. Published as part of the Chapman and Hall/CRC Monographs and Research Notes in Mathematics, this text provides a deep look into the determinants of linear operators within Euclidean, Hilbert, and Banach spaces. This book serves as a vital resource for understanding how determinants act as tools for solving linear equations and establishing invertibility conditions. Readers will learn how to describe spectra and evaluate the multiplicities of eigenvalues through rigorous mathematical frameworks. The content covers the derivation of upper and lower bounds, alongside perturbation results for determinants. Beyond theoretical foundations, the text explores practical applications. It connects theoretical results to spectrum perturbations, matrix equations, and two parameter eigenvalue problems. Additionally, it addresses applications within differential, difference, and functional-differential equations, making it a valuable asset for researchers and students in the field of algebra and mathematical analysis.

Key Features

Covers determinants of linear operators in Euclidean, Hilbert, and Banach spaces for comprehensive mathematical study.

Provides essential tools for solving linear equations and determining invertibility conditions for linear operators.

Explains methods to describe spectra and evaluate the multiplicities of eigenvalues effectively.

Includes derivations for upper and lower bounds and perturbation results for determinants.

Discusses applications to spectrum perturbations, matrix equations, and two parameter eigenvalue problems.

Addresses practical use in differential, difference, and functional-differential equations.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 February 2017
Listed Since
21 September 2016

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