springer.com Mathematics : Operator Theory Aiena, Pietro Fredholm and Local Spectral Theory, with Applications to Multipliers A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the Springer researches undertaken by many people working in local spectral theory and Fredholm theory. 2004, XIV, 444 p. 1st This research activity recently culminated with the publication of the book of Laursen and edition Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers. Printed book Order online at springer.com/booksellers Hardcover Springer Nature Customer Service Center LLC 233 Spring Street Printed book New York, NY 10013 Hardcover USA ISBN 978-1-4020-1830-5 T: +1-800-SPRINGER NATURE $ 139,99 (777-4643) or 212-460-1500 [email protected] Available Discount group Professional Books (2) Product category Monograph Other renditions Softcover ISBN 978-90-481-6522-3 Softcover ISBN 978-94-017-4016-6 Prices and other details are subject to change without notice. All errors and omissions excepted. Americas: Tax will be added where applicable. Canadian residents please add PST, QST or GST. Please add $5.00 for shipping one book and $ 1.00 for each additional book. Outside the US and Canada add $ 10.00 for first book, $5.00 for each additional book. If an order cannot be fulfilled within 90 days, payment will be refunded upon request. Prices are payable in US currency or its equivalent. ISBN 978-1-4020-1830-5 / BIC: PBKF / SPRINGER NATURE: SCM12139 Part of .