Banach Spaces of Continuous Functions as Dual Spaces

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-81263-2
Verlag: Springer International Publishing

Buch, Englisch, 277 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 4453 g

Reihe: CMS Books in Mathematics

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K)  of continuous functions on a locally compact  space K as the main example.  The study of C_0(K) has been an important area of functional analysis for many years.  It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings.  The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.

Zielgruppe

Research

Autoren/Hrsg.

Dales, H. G.

Strauss, D.

Dashiell, Jr., F.K.

Lau, A. T. -M.

Dashiell, Jr.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Introduction.- Banach Spaces and Banach Lattices.- Banach Algebras and C* Algebras.- Measures.- Hyper-Stonean Spaces.- The Banach Space.