Elements of Operator Theory

Rating:
Summary: It's a imediate classic!!
Review: For those wanting to learn not only functional analisys but also the basic elements about math (set thoery, algebra, topology,...), I doubt that they can find anything better than this book. It's the state of art!!!

Rating:
Summary: Simply Indispensable
Review: This is a must have Analisys book. Although the modest title, the book is the best introduction to functional analysis ever written. More than this, its an indispensable first book for everyone interested in operator theory. It is clear, concise and all the exercises are really solvable. You feel that the autor wants to teach you. It requires only a modest (really!) background in linear algebra and calculus. At the end, you will have learned all real analysis that so many autors (and teachers!) always have hidden from you. There are so many math disclosure in the book that I'm afraid Kubrusly being at risk of attack from any xiita math (especially the mediocre one). I agree with the last reviewer, the book is an immediate classic and Kubrusly has turned himself into a kind of Salman Rushdie for his daring in writing the Satanic Verses of the Mathematics.

Rating:
Summary: A useful book, great for the beginner
Review: This is a very self-contained book on fundamentals of functional analysis. The pace is very slow and the proofs too detailed at times. This is particularly so in Chapter 5 on Hilbert Spaces. The good thing about this book are the problems at the end of each chapter. They are mostly standard problems and a lot of 'hints' are provided (as opposed to most books in this field). I have a number of books on functional analysis but often I go back to Kubrusly's for some fundamental notion. One downside is the brief treatment on the spectral theorem for normal operators, but I guess the author's intention was too avoid using measure theoretic results, which most engineering students are not familiar with. A great pick for the beginner.