The Elements of Operator Theory 2nd Edition by Carlos S. Kubrusly (PDF)

Description

This second edition of Elements of Operator Theory is a concept-driven textbook that includes a significant expansion of the problems and solutions used to illustrate the principles of operator theory. 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 additional 20 pages of problems for the second edition.*This self-contained work is an excellent text for the classroom as well as a self-study resource for researchers.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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!

⭐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.

⭐

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