
Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject in the abstract, this textbook covers the subject through twenty examples of a wide variety of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator.The text is supplemented by over 600 end-of-chapter exercises, designed to help the reader master the topics covered in the chapter, as well as providing an opportunity to further explore the vast operator theory literature. Each chapter also contains well-researched historical facts which place each chapter within the broader context of the development of the field as a whole.
This text investigates the core principles of operator theory by shifting focus from abstract definitions to the concrete analysis of twenty specific, representative operators. The authors, Stephan Ramon Garcia, Javad Mashreghi, and William T. Ross, utilize their expertise in functional analysis to construct a pedagogical framework that prioritizes practical application. By examining the norm, spectrum, commutant, and invariant subspaces of these selected examples, the book provides a structured pathway for graduate students to grasp complex theoretical concepts through direct engagement with mathematical objects.
What You Will Find
Scope Limits
Experts and educators recognize this text as a highly effective pedagogical tool for bridging the gap between abstract theory and concrete application. Readers frequently note that the inclusion of historical context and the extensive exercise sets make it a valuable resource for independent study and classroom instruction.
Page Count:
528
Publication Date:
2023-04-30
Publisher:
Oxford University Press
ISBN-10:
019286386X
ISBN-13:
9780192863867
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