Operator Theory by Example 1st Edition

Operator Theory by Example 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9780192863867,9780192863874,019286386X,0192863878,9780192678850, 019267885X

Product details:

• ISBN 10: 019267885X
• ISBN 13:9780192678850
• Author:Stephan Ramon Garcia

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.

Table contents:

1:Hilbert Spaces
2:Diagonal Operators
3:Infinite Matrices
4:Two Multiplication Operators
5:The Unilateral Shift
6:The Cesàro Operator
7:The Volterra Operator
8:Multiplication Operators
9:The Dirichlet Shift
10:The Bergman Shift
11:The Fourier Transform
12:The Hilbert Transform
13:Bishop Operators
14:Operator Matrices
15:Constructions with the Shift Operator
16:Toeplitz Operators
17:Hankel Operators
18:Composition Operators
19:Subnormal Operators
20:The Compressed Shift

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