From the Preface: qThis 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 study of the elements of Hilbert space theory should proceed concurrently with the reading of this book.qThe plethora of topologies yields many questions. A few of those questions are interesting and have useful answers, but even those few are more like routine operator extensions of the corresponding vector questions and answers (in Chaptersanbsp;...
|Title||:||A Hilbert Space Problem Book|
|Publisher||:||Springer Science & Business Media - 2012-12-06|