Analysis Now: 118 (Graduate Texts in Mathematics, 118) - Hardcover

Pedersen, Gert K.

Hardcover

ISBN 10: 0387967885 ISBN 13: 9780387967882

Publisher: Springer, 1988

Synopsis

Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.

About this title

Review

G.K. Pedersen

Analysis Now

"The writing is clear and precise, but has an informal and humorous touch which enlivens the material. One of the strengths of the book is the excellent set of problems, which accompany the text."―MATHEMATICAL REVIEWS

Synopsis

Nicely produced text for graduate students, derived from a course on the "fundamentals of functional analysis" given at the University of Copenhagen in 1982/83, and intended to provide review of "what every young analyst should know". The six chapters treat general topology, Banach spaces, Hilbert spaces, spectral theory, unbounded operators, integ

Edition details

• Publisher: Springer
• Publication date: 1988
• Language: English
• ISBN 10: 0387967885
• ISBN 13: 9780387967882
• Binding: Hardcover
• Number of pages: 294