Basic Classes of Linear Operators
Edition: 1 edition
Publisher: Birkhäuser Basel
Published: January 12, 2004
Language: eng
Format: Paperback
Number of pages: 423
ISBN-13: 9783764369309
Subjects: Functional analysis; Mathematics; General; Technology; Science/Mathematics; Calculus; Linear Programming; Mathematical Analysis; Mathematics / Mathematical Analysis
First sentence: Let C denote the set of complex numbers and let H = C be the set of all n-tuples (E1.....En) of complex numbers with addition and scalar multiplication defined as follows.
Description: 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 (ISBN 0-8176-4262-5).