A Hilbert Space Problem Book (2nd Rev and Enl edition)


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From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a ...

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Mar 16, 2007

This revised and enlarged second edition of A Hilbert Space Problem Book is an exposition of Hilbert space theory presented in a way that gives the reader the opportunity to learn mathematics by doing mathematics. The book presents one challenge after another. Each is preceded by the definitions and motivation needed to undertand it, and most are followed by applications and historical remarks that help put them into their proper context. For every problem there is first a hint, and then a complete solution.

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