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Springer - Perturbation Theory for Linear Operators Book

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Description

Explore advanced mathematical concepts with Perturbation Theory for Linear Operators by Springer. This text provides a detailed look at spectral theory, focusing on the completeness of generalised eigenvectors and Riesz bases. It covers essential topics such as semigroup theory, families of analytic operators, and the Gribov operator acting in the Bargmann space. Readers will find comprehensive discussions on recent mathematical developments regarding perturbed non-self-adjoint operators. The content includes analysis of the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces, and the asymptotic behavior of eigenvalues. Designed with practical application in mind, most results presented in this book are motivated by real-world physical problems. For example, it addresses the perturbation method for sound radiation, making it a valuable resource for those studying functional analysis and its applications in physics.

Key Features

Covers essential spectral theory topics including Riesz bases and the completeness of generalised eigenvectors.

Discusses recent mathematical developments in perturbed non-self-adjoint operators and eigenvalue asymptotic behavior.

Provides detailed analysis of semigroup theory and families of analytic operators.

Explores the Gribov operator within the context of the Bargmann space.

Includes mathematical results motivated by physical problems like sound radiation perturbation methods.

Analyzes bases within both Hilbert and Banach spaces for advanced mathematical study.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 July 2022
Listed Since
04 July 2022

Barcode

No barcode data available

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