Linear Operators, Part 1

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.

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.