Spectral Mapping Theorems

Robin Harte was educated at Belfast High School, Trinity College, Dublin and St. John's College, Cambridge, and has taught in the Universities of Swansea and Cork, Iowa, Alaska and Mexico. After pretending to retire, he went on the academic equivalent of a Road Trip, stopping at Belfast, Fairbanks, Lille and Mexico, with frequent stop-overs at Texas, Stellenbosch, Nis, Palermo and Seoul.

Algebra.- Topology.- Topological algebra.- Spectral theory.- Several variables.- Many Variables.

lt;p>"This short book introduces the reader to all algebraic, topological and operator theory ... . The spectrum is defined and explained in detail, including the point, approximate point and essential spectrum ... . the book is an excellent read if one aims to learn the abstract theory of spectral mapping theorems in one, several and many variables." (Milena Stanislavova, Mathematical Reviews, October, 2015)

"Offering a fresh perspective even for experts, Harte (Trinity College, Ireland) emphasizes concepts of spectra generalized beyond single operators, so they are attached to finite sequences and even structured infinite families of operators. ... Summing Up: Recommended. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 52 (7), March, 2015)