Peter Harmand, Dirk Werner, Wend Werner

M-Ideals in Banach Spaces and Banach Algebras

• Broschiertes Buch

Produktbeschreibung

This book provides a comprehensive exposition of M-idealtheory, a branch ofgeometric functional analysis whichdeals with certain subspaces of Banach spaces arisingnaturally in many contexts. Starting from the basicdefinitions the authors discuss a number of examples ofM-ideals (e.g. the closed two-sided ideals of C_-algebras)and develop their general theory. Besides, applications toproblems from a variety of areas including approximationtheory, harmonic analysis, C_-algebra theory and Banachspace geometry are presented.The book is mainly intended as a reference volume forresearchers working in one of these fields, but it alsoaddresses students at the graduate or postgraduate level.Each of its six chapters is accompanied by aNotes-and-Remarks section which explores furtherramifications of the subject and gives detailed referencesto the literature. An extensive bibliography is included.

Produktdetails

• Lecture Notes in Mathematics 1547
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-56814-8
• 1993
• Seitenzahl: 404
• Erscheinungstermin: 29. Juli 1993
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 608g
• ISBN-13: 9783540568148
• ISBN-10: 354056814X
• Artikelnr.: 23887282

Inhaltsangabe

Basic theory of M-ideals.- Geometric properties of M-ideals.- Banach spaces which are M-ideals in their biduals.- Banach spaces which are L-summands in their biduals.- M-ideals in Banach algebras.- M-ideals in spaces of bounded operators.