Elements of Operator Theory

This fully revised, updated, and corrected edition ofThe Elements of Operator Theoryincludes a significant expansion ofproblems and solutions used to illustrate the principles of operator theory. Written ina user-friendly, motivating style, it covers the fundamental topics of the field in a systematic fashion while avoiding a formula-calculation approach.The book maintains the logical and linear organization of the title's first edition, progressingthrough set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces before culminating in a discussion of the Spectral Theorem. A self-contained textbook, The Elements of Operator Theory, Second Edition is an excellent resource for the classroom as well as a self-study reference for researchers. Prerequisitescomprise an introduction to analysis and basic experience with functions of a complex variable, which most first-year graduate students in mathematics, engineering, or other formal sciences have already acquired. Measure theory and integration theory are necessary only for the last section of the final chapter.