TY  - BOOK
AU  - Arveson,William
ED  - SpringerLink (Online service)
TI  - A Short Course on Spectral Theory
T2  - Graduate Texts in Mathematics,
SN  - 9780387215181
AV  - QA299.6-433 
U1  - 515 23
PY  - 2002///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Mathematical analysis
KW  - Analysis (Mathematics)
KW  - Operator theory
KW  - Functional analysis
KW  - Analysis
KW  - Operator Theory
KW  - Functional Analysis
N1  - Spectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications
N2  - This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis
UR  - https://doi.org/10.1007/b97227
ER  -