02546nam 2200613 450 991078888640332120170821165832.01-4704-0704-3(CKB)3360000000464478(EBL)3113572(SSID)ssj0000973234(PQKBManifestationID)11948239(PQKBTitleCode)TC0000973234(PQKBWorkID)10959480(PQKB)10232617(MiAaPQ)EBC3113572(RPAM)1879116(PPN)195411757(EXLCZ)99336000000046447819831108h19841984 uy| 0engur|n|---|||||txtccrIndex theory in von Neumann algebras /Catherine L. OlsenProvidence, R.I., USA :American Mathematical Society,[1984]©19841 online resource (77 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 294"January 1984, volume 47, number 294."0-8218-2295-0 Bibliography: pages 70-71.""Table of Contents""; ""Abstract""; ""1. Introduction""; ""2. Basic facts and notation""; ""3. Definition of the semi-Fredholm elements, and of the index group and the index semigroup""; ""4. Alternative characterizations of the Fredholm and semi-Fredholm elements""; ""5. Definition of the index map i""; ""6. Properties of the index map i""; ""7. A representation of the index group and the index semigroup for relatively compact ideals""; ""8. Examples""; ""9. Definition of an index i for noncompact ideals""; ""10. Properties of the index i""""11. The maximal domain of continuity for the index""""12. The closure of the semi-Fredholm components; the distance to each component""; ""References""Memoirs of the American Mathematical Society ;no. 294.Von Neumann algebrasAnalytic functionsFredholm operatorsIndex theory (Mathematics)Von Neumann algebras.Analytic functions.Fredholm operators.Index theory (Mathematics)510 s512/.55Olsen Catherine L(Catherine Louise),1942-1479869MiAaPQMiAaPQMiAaPQBOOK9910788886403321Index theory in von Neumann algebras3696221UNINA