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.
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