20.500.12556/DKUM-66190 An application of the Sakai's theorem to the characterization of H*-algebras Uporaba Sakaijevega izreka pri karakterizaciji H*-algeber The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative ▫$H^\ast$▫-algebras via two-sided ▫$H^\ast$▫-algebras. This proof completely avoids structure theory. Znani Sakaijev izrek, ki pravi, da je vsako odvajanje von Neumannovih algeber notranje, uporabimo za nov in eleganten dokaz izreka Saworotnowa o karakterizaciji ▫$H^\ast$▫-algeber. mathematics functional analysis ▫$H^\ast$▫-algebra involution automorphism derivation centralizer von Neumann algebra matematika funkcionalna analiza Banachove algebre ▫$H^\ast$▫-algebra involucija avtomorfizem odvajanja centralizatorji von Neumannove algebre true false true Angleški jezik Slovenski jezik Znanstveno delo 2017-06-14 11:44:11 2017-06-14 11:47:22 2022-07-10 03:06:47 2021-05-16 03:19:25 1995 0 0 str. 317-322 št. 2 Letn. 18 1995 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 0161-1712 517.986 25648128 8126724 10.1155/S0161171295000408 0161-1712 URN:SI:UM:DK:HWKRSWFK International_Journal_of_Mathematics_and_Mathematical_Sciences_1995_Zalar_An_application_of_the_Sakai_s_theorem_to_the_characterization.pdf International_Journal_of_Mathematics_and_Mathematical_Sciences_1995_Zalar_An_application_of_the_Sakai_s_theorem_to_the_characterization.pdf 1 39CFD139A3AD7485E4C4F34619AB1F55 c93081aad409cb642f8edaeb8796d24c6b74a25702973ef0ec60a5b2247a4ccd 3df2aa7c-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112509 http://www.hindawi.com/journals/ijmms/1995/203069/abs/ 1 https://dk.um.si/Dokument.php?lang=slv&id=112508 Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0