Introduction to Banach Spaces and Algebras

Zusatztext This well-crafted and scholarly book ...leaves nothing to be desired: this is a fine way to get into this beautiful subject and will serve to reel in a huge number of future devotees. Informationen zum Autor Graham Allan was a student of mathematics at Cambridge University, England, and obtained his PhD there in 1964. After periods as a Fellow at Cambridge, as a lecturer at the University of Newcastle-upon-Tyne, and as Professor of Pure Mathematics at the University of Leeds, Graham returned to Cambridge as a lecturer in mathematics in 1978, and he became a Reader in Functional Analysis in 1980. Graham was a Fellow of Churchill College from 1978, Director of Studies inMathematics from 1985, and Vice-Master of the College 1990-93. Klappentext A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras. Zusammenfassung A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras. Inhaltsverzeichnis PART I INTRODUCTION TO BANACH SPACES; 1: Preliminaries; 2: Elements of normed spaces; 3: Banach spaces; PART II BANACH ALGEBRAS; 4: Banach algebras; 5: Representation theory; 6: Algebras with an involution; 7: The Borel functional calculus; PART III SCV AND BANACH ALGEBRAS; 8: Introduction to several complex variables; 9: The holomorphic functional calculus in several variables; Bibliography; Index

Summary

A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.

Product details

• Authors: Graham Allan, Graham (University of Cambridge [Deceased 2007]) Allan, Graham R. Allan, H. Garth Dales
• Assisted by: H. Garth Dales (Editor)
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 18.11.2010
• EAN: 9780199206544
• ISBN: 978-0-19-920654-4
• No. of pages: 384
• Series: Oxford Graduate Texts in Mathematics; Oxford Graduate Texts in Mathe; Oxford Graduate Texts in Mathematics; Oxford Graduate Texts in Mathe
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra