Linear Operators, 3 Volume Set

1. Auflage 2009
ISBN: 978-0-470-55561-3
Verlag: Wiley

Buch, Englisch, 2648 Seiten, Format (B × H): 168 mm x 229 mm, Gewicht: 3620 g

This set features: Linear Operators, Part 1, General Theory (978-0-471-60848-6), Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space (978-0-471-60847-9), and Linear Operators, Part 3, Spectral Operators (978-0-471-60846-2), all by Neilson Dunford and Jacob T. Schwartz.

This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.

Autoren/Hrsg.

Dunford, Nelson

Schwartz, Jacob T.

Inhaltsverzeichnis

Set-theoretic Preliminaries.

Toplogical Preliminaries.

Algebraic Preliminaries.

Three Basic Principles of Linear Analysis.

Integration and Set Functions.

Special Spaces.

Convex Sets and Weak Topologies.

Operators and Their Adjoints.

General Spectral Theory.

Applications.

References.

Notation Index.

Author Index.

Subject Index.

Über Autor(innen)

Nelson James Dunford was an American mathematician, known for his work in functional analysis, namely integration of vector valued functions, ergodic theory, and linear operators. The Dunford decomposition, Dunford-Pettis property, and Dunford-Schwartz theorem bear his name. Jacob Theodore "Jack" Schwartz was an American mathematician, computer scientist, and professor of computer science at the New York University Courant Institute of Mathematical Sciences. He was the designer of the SETL programming language and started the NYU Ultracomputer project.