Operator Theory by Example
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Author Description
Operator Theory By Example Is Aimed At Graduate Students Just Getting Started In Operator Theory. Rather Than Discuss The Subject In The Abstract, This Book Covers The Subject Through Twenty Instructive Examples Of A Wide Variety Of Operators. For Each Operator, We Discuss Its Norm, Spectrum, Commutant, Invariant Subspaces, And Interesting Properties That Are Particular To That Operator. An Important Feature Of This Book Is Dozens Of Exercises At The End Of Each Chapter (over 600 In Total) Along With Hints. These Problems Are Designed To Give The Reader An Opportunity To Master The Topics Covered In The Chapter As Well As Give Them An Opportunity To Further Explore The Vast Operator Theory Literature. Each Chapter Also Contains Well Researched Historical Facts Which Place The Chapter In Context So The Reader Can See The Development Of The Field-- Provided By Publisher.
Menrva's Summary
THE THESIS
This book investigates the fundamental properties of operators by utilizing twenty concrete, illustrative examples rather than relying solely on abstract definitions. The authors, Stephan Ramon Garcia, Javad Mashreghi, and William T. Ross, leverage their extensive academic backgrounds to provide a pedagogical framework that bridges the gap between theory and application. By focusing on specific operators, they demonstrate how to calculate norms, spectra, and commutants while exploring invariant subspaces and unique operator characteristics.
THE SCOPE MAP
What You Will Find
- Detailed analysis of twenty distinct types of operators
- Over 600 exercises with accompanying hints for skill reinforcement
- Historical context and development timelines for each operator type
- Systematic examination of norms, spectra, and invariant subspaces
Scope Limits
- The text assumes a foundational knowledge of functional analysis and is not intended for undergraduate students without prior exposure to the field.
THE AUTHORITY PERSPECTIVE
Experts and graduate students frequently highlight this text as a highly effective resource for transitioning from abstract theory to practical application. The inclusion of extensive exercises and historical context makes it a standard reference for those seeking to master the complexities of operator theory.
Page Count:
0
Publication Date:
2023-01-01
Publisher:
New York : Oxford University Press,
ISBN-10:
019195456X
ISBN-13:
9780191954566
Operator Theory
Mathematics
textbook
Functional analysis
Graduate Mathematics
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