Basic Classes of Linear Operators

Häftad, Engelska, 2003

Av Israel Gohberg, Seymour Goldberg, Marinus Kaashoek

1 269 kr

Beställningsvara. Skickas inom 10-15 vardagar

Fri frakt för medlemmar vid köp för minst 249 kr.

This book provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.Enriched new version of the book "Basic Operator Theory" by I. Gohberg and S. Goldberg (0-8176-4262-5).

Produktinformation

Utgivningsdatum2003-10-24
Mått155 x 235 x 24 mm
Vikt668 g
FormatHäftad
SpråkEngelska
Antal sidor423
Upplaga2003
FörlagBirkhauser Verlag AG
ISBN9783764369309

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Introduction.- Hilbert Spaces.- Bounded Linear Operators on Hilbert Spaces.- Laurent and Toeplitz Operators on Hilbert Spaces.- Spectral Theory of Compact Self-Adjoint Operators.- Spectral Theory of Integral Operators.- Unbounded Operators on Hilbert Spaces.- Oscillations of an Elastic String.- Operational Calculus with Applications.- Solving Linear Equations by Iterative Methods.- Further Developments of the Spectral Theorem.- Banach Spaces.- Linear Operators Banach Spaces.- Compact Operators on Banach Spaces.- Poincaré Operators: Determinant and Trace.- Fredholm Operators.- Toeplitz and Singular Integral Operators.- Nonlinear Operators.

"With a name like Gohberg-Goldberg-Kaashoek, it has got to be good. But let me count the ways. If you are interested in learning the basic theories of Hilbert and Banach spaces together with the well-known operators that act on them, this book is for you. It is intended for advanced undergraduate and beginning graduate students in mathematics... The volume is actually a second edition of Basic Operator Theory by Gohberg and Goldberg... Exercises and examples have been added... The text is well written, clear, and readable... A student at the specified level will have no difficulty understanding the presentation." -SIAM Review "The material is presented in a very clear way, emphasizing concepts over technical generalities. Another pleasant feature of the book is the large number of examples and exercises. In summary, the authors have successfully found an interesting way from the elementary level to some of the highlights of operator theory." - Monatshefte fur Mathematik