Operator Theory by Example

Stephan Ramon Garcia, W. M. Keck Distinguished Service Professor and Chair of the Department of Mathematics and Statistics, Pomona College, Javad Mashreghi, President, Canadian Mathematical Society, Professor, Laval University, William T. Ross, Richardson Professor of Mathematics, University of Richmond Stephan Ramon Garcia is W. M. Keck Distinguished Service Professor at Pomona College. He is the author of five books and over 100 research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, combinatorics, and other fields. He has served on the editorial boards of the Proceedings of the American Mathematical Society, Notices of the American Mathematical Society, Involve, and The American Mathematical Monthly. He has received five NSF research grants as principal investigator and six teaching awards from three different institutions. He is a Fellow of the AMS and the inaugural winner of the AMS Dolciani Prize for Excellence in Research. >William Ross is a graduate of Fordham University (Bronx, New York) and the University of Virginia (Charlottesville, Virginia) and is currently the Roger Francis and Mary Saunders Richardson Professor of Mathematics at the University of Richmond (Richmond, Virginia). He is the author of eight books and 70 papers. He has also served as an editor on several research journals in mathematics.

Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory, and covers twenty examples of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator.