Autor:	Akriche, Mouadh, Toumi, Mohamed Ali
Rok vydání:	2011
Předmět:	Mathematics - Functional Analysis Mathematics - Operator Algebras Primary 13D03 Secondary 06F25 46A40
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce a new homology theory devoted to the study of linear operators such as local mutipliers and band preserving operators. The idea is to study the vanishing homology problem. This enables us to characterize integral domains in which any local multiplier is a multiplier, which gives a partial answer to a problem posed by R. V. Kadison [J. Algebra 130, No.2, (1990) 494-509]. Finally, we solve the Wickstead problem [Compositio Math, 35(3) (1977), 225--238] for the class of Archimedean unital f-algebras. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.0317 Zobrazit plný text záznamu View this record from Arxiv