Operator Theory by Example

This textbook provides an accessible and comprehensive introduction to operator theory, covering the subject through twenty examples and over 600 end-of-chapter exercises. It also includes historical facts to place each chapter in the broader context of the field's development.

Format: Paperback / softback
Length: 528 pages
Publication date: 30 January 2023
Publisher: Oxford University Press

This textbook is a comprehensive and accessible introduction to operator theory, specifically tailored for graduate students. Rather than presenting the subject in an abstract manner, it delves into the topic through a series of twenty illustrative examples, covering a diverse range of operators. Each example is accompanied by a discussion of key concepts such as the norm, spectrum, commutant, invariant subspaces, and intriguing properties of the operators. To enhance the learning experience, the text is supplemented with over 600 end-of-chapter exercises, meticulously designed to help the reader grasp the chapter's content and explore the vast literature of operator theory further. Additionally, each chapter includes well-researched historical facts that contextualize the chapter within the broader development of the field. By providing a solid foundation in operator theory through a practical and engaging approach, this textbook aims to equip graduate students with the necessary tools to excel in their studies and pursue careers in mathematics and related fields.

Dimension: 234 x 156 (mm)
ISBN-13: 9780192863874