The Elements of Operator Theory
| Author | : | |
| Rating | : | 4.81 (933 Votes) |
| Asin | : | 0817649972 |
| Format Type | : | paperback |
| Number of Pages | : | 540 Pages |
| Publish Date | : | 2016-10-02 |
| Language | : | English |
DESCRIPTION:
"One of a Kind" according to E. Zanni. This is truly an excellent introduction on the subject. The organization is tight and the book is largely self-contained. All the proofs are very well detailed and most of the exercises have hints, which helps a lot.. Great introduction to the topic Great introduction to the topic, does not have any prerequisites, builds everything from set theory, in a very rigorous way. Motivates the topics and have thousands of complimentary exercises. Very complete. Also a great reference for functional analysis!
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.Included in this edition: more than 150 examples, with several interesting counterexamples that demonstrate the frontiers of important theorems, as many as 300 fully rigorous proofs, specially tailored to the presentation, 300 problems, many with hints, and an add
It collects material suitable for graduate courses as well as for self-study. … Suggestions for additional reading are provided at the end of each chapter.” (Thomas Len Miller, Mathematical Reviews, Issue 2012 e)“This is a revised, corrected and enlarged version of the first edition of this book … . The forte features of the book are the teaching style, illuminating explanation of numerous delicate points, detailed presentation of topics. "The Elements of Operator Theory is a very good treatment of some of the mainstays of functional analysis. It’s the book’s second edition, the first dating back a decade. But it is also quite an unusual book in the sense that it starts with very elementary material indeed, and, proceeding linearly…takes the reader all the way to the spectral theorem, or at least through
The author has published several books, including An Introduction to Models and Decompositions in Operator Theory, Elements of Operator Theory, Hilbert Space Operators: A Problem Solving Approach, and Measure Theory: A First Course. Carlos Kubrusly's research deals with Hilbert-space operators, focusing on the Invariant Subspace