This second edition of Elements of Operator Theory is a concept-driven textbook including a significant expansion of the problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly, motivating style intended to avoid the formula-computational approach, fundamental topics are presented in a systematic fashion, i.e., set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces, culminating with the Spectral Theorem.
*Key Features include:
*More than 300 fully rigorous proofs, specially tailored to the presentation
*As many as 150 examples, and several interesting counterexamples that demonstrate the frontiers of an important theorem
*Over 300 problems, many with hints, and including 20 pages of additional problems for the second edition
*Both problems and examples underscore further auxiliary results and extensions of the main theory; challenging the reader to prove the principal theorems anew
*This self-contained work is an excellent text for the classroom as well as a self-study resource for researchers. Prerequisites include an introduction to analysis and to functions of a complex variable, which most first-year graduate students in mathematics, engineering, or another formal science have already acquired. Measure theory and integration theory are required only for the last section of the final chapter.
*Review of the first edition:
The Elements of Operator Theory
Birkhauser Verlag GmbH