AN OPERATOR THEORY PROBLEM BOOK

This book is for third and fourth year university mathematics students and Master students as well as lecturers and tutors in mathematics and anyone who needs the basic facts on Operator Theory eg Quantum Mechanists The main setting for bounded linear operators here is a Hilbert space There is however a generous part on General Functional Analysis not too advanced though There is also a chapter on Unbounded Closed OperatorsThe book is divided into two parts The first part contains essential background on all of the covered topics with the sections True or False Questions Exercises Tests and More Exercises In the second part readers may find answers and detailed solutions to the True or False Questions Exercises and TestsAnother virtue of the book is the variety of the topics and the exercises and the way they are tackled In many cases the approaches are different from what is known in the literature Also some very recent results from research papers are included