Introduction to Operator Theory I. Elements of Functional Analysis. Graduate Texts in Mathematics 55

Arlen Brown, Carl Pearcy

ISBN 10: 0387902570 / ISBN 13: 9780387902579

Editore: Springer, 1977

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*Price HAS BEEN REDUCED by 10% until Monday, June 9 (SALE item)* First edition, first printing, 474 pp., hardcover, faint age-toning to page edges else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1325546

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Titolo: Introduction to Operator Theory I. Elements ...

Casa editrice: Springer

Data di pubblicazione: 1977

Legatura: Rilegato

Condizione: Very Good

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This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in­ tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully.