Aconferenceon NoncommutativeGeometryandtheStandardModelof- ementaryParticlePhysics washeldattheHesselbergAcademy(innorthern Bavaria, Germany) during the week of March 14 19, 1999. The aim of the conference was to give a systematic exposition of the mathematical foun- tions and physical applications of noncommutative geometry, along the lines developedbyAlainConnes. Theconferencewasactuallypartofacontinuing series of conferences at the Hesselberg Academy held every three years and devoted to important developments in mathematical ?elds, such as geom- ricanalysis, operatoralgebras, indextheory,...

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...

Aconferenceon NoncommutativeGeometryandtheStandardModelof- ementaryParticlePhysics washeldattheHesselbergAcademy(innorthern Bavaria, Germany) during the week of March 14 19, 1999. The aim of the conference was to give a systematic exposition of the mathematical foun- tions and physical applications of noncommutative geometry, along the lines developedbyAlainConnes. Theconferencewasactuallypartofacontinuing series of conferences at the Hesselberg Academy held every three years and devoted to important developments in mathematical ?elds, such as geom- ricanalysis, operatoralgebras, indextheory,...